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SPIRES-BOOKS: FIND KEYWORD SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES *END*INIT* use /tmp/qspiwww.webspi1/9298.100 QRY 131.225.70.96 . find keyword several complex variables and analytic spaces ( in books using www Cover
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Call number:9783319393391:ONLINE Show nearby items on shelf
Title:Singularities in Geometry, Topology, Foliations and Dynamics A Celebration of the 60th Birthday of José Seade, Merida, Mexico, December 2014
Author(s):
Date:2017
Size:1 online resource (XVII, 231 p. 15 illus., 10 illus. in color p.)
Contents:Extending the action of Schottky groups on the complex anti-de Sitter space to the projective space -- Puiseux Parametric Equations via the Amoeba of the Discriminant -- Some open questions on arithmetic Zariski pairs -- Logarithmic
vector fields and the Severi strata in the discriminant -- Classification of Isolated Polar Weighted Homogeneous Singularities -- Rational and iterated maps, degeneracy loci, and the generalized Riemann-Hurwitz formula -- On singular
varieties with smooth subvarieties -- On Polars of Plane Branches -- Singular Intersections of Quadrics I -- A New Conjecture, a New Invariant, and a New Non-splitting Result -- Lipschitz geometry does not determine embedded
topological type -- Projective transverse structures for some foliations -- Chern classes and transversality for singular spaces
ISBN:9783319393391
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Algebraic geometry , Global analysis (Mathematics) , Manifolds (Mathematics) , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces , Algebraic Geometry , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319323152:ONLINE Show nearby items on shelf
Title:Hyperbolicity of Projective Hypersurfaces
Author(s): Simone Diverio
Date:2016
Size:1 online resource (89 p.)
Note:10.1007/978-3-319-32315-2
Contents:- Introduction -- Kobayashi hyperbolicity: basic theory -- Algebraic hyperbolicity -- Jets spaces -- Hyperbolicity and negativity of the curvature -- Hyperbolicity of generic surfaces in projective 3-space -- Algebraic degeneracy for projective hyp ersurfaces
ISBN:9783319323152
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:IMPA Monographs : 5
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Differential geometry , Mathematics , Differential Geometry , Algebraic Geometry , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2016-9783319247113:ONLINE Show nearby items on shelf
Title:Dessins d'Enfants on Riemann Surfaces
Author(s): Gareth A Jones
Date:2016
Edition:1st ed. 2016
Size:1 online resource (259 p.)
Note:10.1007/978-3-319-24711-3
Contents:Historical and introductory background -- Graph embeddings -- Dessins and triangle groups -- Galois actions -- Quasiplatonic surfaces, and automorphisms -- Regular maps -- Regular embeddings of complete graphs -- Wilson operations -- Further exampl es -- Arithmetic aspects -- Beauville surfaces
ISBN:9783319247113
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Group theory , Functions of complex variables , Hyperbolic geometry , Mathematics , Algebraic Geometry , Group Theory and Generalizations , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Hyperbolic Geometry
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Call number:SPRINGER-2014-9783319017334:ONLINE Show nearby items on shelf
Title:An Algebraic Approach to Geometry [electronic resource] : Geometric Trilogy II
Author(s): Francis Borceux
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level andalgebraic geometry at a gradua te level, and it is also an important topic in geometric applications, such as cryptography. 380 years ago, the work of Fermat and Descartes led us to study geometric problems using coordinates andequations. Today, this is the most popular way of handling geometrical problems. Linear algebra provides an efficient tool for studying all the first degree (lines, planes, ) and second degree (ellipses, hyperboloids, ) geometricfigures, in the affine, the Euclidean, the Hermitian and the projective contexts. Bu t recent applications of mathematics, like cryptography, need these notions not only in real or complex cases, but also in more general settings, likein spaces constructed on finite fields. And of course, why not also turn our attention to geometric figur es of higher degrees? Besides all the linear aspects of geometry in their most general setting, this book also describes usefulalgebraic tools for studying curves of arbitrary degree and investigates results as advanced as the Bezout theorem, the Cramer p aradox, topological group of a cubic, rational curves etc. Hence the book is of interest for all thosewho have to teach or study linear geometry: affine, Euclidean, Hermitian, projective it is also of great interest to those who do not want to restrict t hemselves to the undergraduate level of geometric figures of degree one or two
Contents:Introduction
Preface
1.The Birth of Analytic Geometry
2.Affine Geometry
3.More on Real Affine Spaces
4.Euclidean Geometry
5.Hermitian Spaces
6.Projective Geometry
7.Algebraic Curves
Appendices:A. Polynomials Over a Field
B. Polynomials in Several Variables
C. Homogeneous Polynomials
D. Resultants
E. Symmetric Polynomials
F. Complex Numbers
G. Quadratic Forms
H. Dual Spaces
Index
Bibliography
ISBN:9783319017334
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry
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Call number:SPRINGER-2012-9781441988010:ONLINE Show nearby items on shelf
Title:Analysis on Fock Spaces [electronic resource]
Author(s): Kehe Zhu
Date:2012
Publisher:Boston, MA : Springer US : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms Hardy spaces and Bergman spaces are by now standardand well established. But the term Fock spaces is a different story. Numerous excellent books now exist on the subject of Hardy spaces. Several books about Bergman spaces, including some of the authors, have also appeared inthe past few decades. But there has been no book on the market co ncerning the Fock spaces. The purpose of this book is to fill that void, especially when many results in the subject are complete by now. This book presents importantresults and techniques summarized in one place, so that newcomers, especially graduate st udents, have a convenient reference to the subject. This book contains proofs that are new and simpler than the existing ones in the literature.In particular, the book avoids the use of the Heisenberg group, the Fourier transform, and the heat equation. T his helps to keep the prerequisites to a minimum. A standard graduate course in each of real analysis, complex analysis, andfunctional analysis should be sufficient preparation for the reader
Note:Springer eBooks
Contents:Preface
Chapter 1. Preliminaries
Chapter 2. Fock Spaces
Chapter 3. The Berezin Transform and BMO
Chapter 4. Interpolating and Sampling Sequences
Chapter 5. Zero Sets for Fock Spaces
Chapter 6. Toeplitz Operators
Chapter 7. Small Hankel Operators
Chapter 8. Hankel Operators
References
Index
ISBN:9781441988010
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v263
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Functions of complex variables , Operator theory , Differential equations, partial
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Call number:SPRINGER-2006-9783540344629:ONLINE Show nearby items on shelf
Title:Partial Differential Equations 2 [electronic resource] : Functional Analytic Methods
Author(s): Friedrich Sauvigny
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEsand complex variable m ethods. In this second volume the following topics are treated: Solvability of operator equations in Banach spaces, Linear operators in Hilbert spaces and spectral theory, Schauder's theory of linear ellipticdifferential equations, Weak solutions of diffe rential equations, Nonlinear partial differential equations and characteristics, Nonlinear elliptic systems with differential-geometric applications. While partial differential equationsare solved via integral representations in the preceding volume, func tional analytic methods are used in this volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study eachchapter independently from the others
Note:Springer eBooks
Contents:Operators in Banach Spaces
Linear Operators in Hilbert Spaces
Linear Elliptic Differential Equations
Weak Solutions of Elliptic Differential Equations
Nonlinear Partial Differential Equations
Nonlinear Elliptic Systems
ISBN:9783540344629
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Mathematical physics
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Call number:SPRINGER-2004-9783662063071:ONLINE Show nearby items on shelf
Title:Complex Abelian Varieties
Author(s): Christina Birkenhake
Date:2004
Edition:Second, Augmented Edition
Size:1 online resource (638 p.)
Note:10.1007/978-3-662-06307-1
Contents:Notation -- 1. Complex Tori -- 2. Line Bundles on Complex Tori -- 3. Cohomology of Line Bundles -- 4. Abelian Varieties -- 5. Endomorphisms of Abelian Varieties -- 6. Theta and Heisenberg Groups -- 7. Equations for Abelian Varieties
-- 8. Moduli -- 9. Moduli Spaces of Abelian Varieties with Endomorphism Structure -- 10. Abelian Surfaces -- 11. Jacobian Varieties -- 12. Prym Varieties -- 13. Automorphisms -- 14. Vector bundles on Abelian Varieties -- 15. Further
Results on Line Bundles an the Theta Divisor -- 16. Cycles on Abelian varieties -- 17. The Hodge Conjecture for General Abelian and Jacobian Varieties -- A. Algebraic Varieties and Complex Analytic Spaces -- B. Line Bundles and Factors
of Automorphy -- C. Some Algebraic Geometric Results -- C.1 Some Properties of ?-Divisors -- C.2 The Kodaira Dimension -- C.3 Vanishing Theorems -- C.6 Some Results from Intersection Theory -- C.7 Adjoint Ideals -- D. Derived
Categories -- D.1 Definition and First Properties -- D.2 Derived Functors -- D.3 The Grothendieck-Riemann-Roch Theorem -- E. Moduli Spaces of Sheaves -- F. Abelian Schemes -- F.1 Abelian Schemes and the Poincar´e Bundle -- F.2 Relative
Fourier Functor -- F.3 The Relative Jacobian -- Glossary of Notation
ISBN:9783662063071
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 302
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Number theory , Mathematics , Algebraic Geometry , Number Theory , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2004-9783642189210:ONLINE Show nearby items on shelf
Title:Theory of Stein Spaces
Author(s): Hans Grauert
Date:2004
Size:1 online resource (254 p.)
Note:10.1007/978-3-642-18921-0
Contents:A. Sheaf Theory -- B. Cohomology Theory -- I. Coherence Theory for Finite Holomorphic Maps -- II. Differential Forms and Dolbeault Theory -- III. Theorems A and B for Compact Blocks ?m -- IV. Stein Spaces -- V. Applications of
Theorems A and B -- VI. The Finiteness Theorem -- VII. Compact Riemann Surfaces -- Table of Symbols -- Addendum -- Errors and Misprints
ISBN:9783642189210
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Algebraic Geometry
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Call number:SPRINGER-2004-9783642188688:ONLINE Show nearby items on shelf
Title:Sheaves in Topology
Author(s): Alexandru Dimca
Date:2004
Size:1 online resource (240 p.)
Note:10.1007/978-3-642-18868-8
Contents:1 Derived Categories -- 1.1 Categories of Complexes C*(A) -- 1.2 Homotopical Categories K*(A) -- 1.3 The Derived Categories D*(A) -- 1.4 The Derived Functors of Hom -- 2 Derived Categories in Topology -- 2.1 Generahties on Sheaves --
2.2 Derived Tensor Products -- 2.3 Direct and Inverse Images -- 2.4 The Adjunction Triangle -- 2.5 Local Systems -- 3 Poincaré-Verdier Duality -- 3.1 Cohomological Dimension of Rings and Spaces -- 3.2 The Functor f! -- 3.3 Poincaré and
Alexander Duality -- 3.4 Vanishing Results -- 4 Constructible Sheaves, Vanishing Cycles and Characteristic Varieties -- 4.1 Constructible Sheaves -- 4.2 Nearby and Vanishing Cycles -- 4.3 Characteristic Varieties and Characteristic
Cycles -- 5 Perverse Sheaves -- 5.1 t-Structures and the Definition of Perverse -- 5.2 Properties of Perverse -- 5.3 D-Modules and Perverse -- 5.4 Intersection Cohomology -- 6 Applications to the Geometry of Singular Spaces --
Singularities, Milnor Fibers and Monodromy -- Topology of Deformations -- Topology of Polynomial Functions -- Hyperplane and Hypersurface Arrangements -- References
ISBN:9783642188688
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Algebraic topology , Mathematics , Algebraic Topology , Algebraic Geometry , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2004-9783540444879:ONLINE Show nearby items on shelf
Title:Real Methods in Complex and CR Geometry Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30 - July 6, 2002
Author(s): Marco Abate
Date:2004
Size:1 online resource (219 p.)
Note:10.1007/b98482
Contents:Preface -- M. Abate: Angular Derivatives in Several Complex Variables -- J.E. Fornaess: Real Methods in Complex Dynamics -- X. Huang: Local Equivalence Problems for Real Submanifolds in Complex Spaces -- J.-P. Rosay: Introduction to a
General Theory of Boundary Values -- A. Tumanov: Extremal Discs and the Geometry of CR Manifolds
ISBN:9783540444879
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze: 1848
Keywords: Mathematics , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2004-9783540409601:ONLINE Show nearby items on shelf
Title:Tame Geometry with Application in Smooth Analysis
Author(s): Yosef Yomdin
Date:2004
Size:1 online resource (190 p.)
Note:10.1007/b94624
Contents:Preface -- Introduction and Content -- Entropy -- Multidimensional Variations -- Semialgebraic and Tame Sets -- Some Exterior Algebra -- Behavior of Variations under Polynomial Mappings -- Quantitative Transversality and Cuspidal
Values for Polynomial Mappings -- Mappings of Finite Smoothness -- Some Applications and Related Topics -- Glossary -- References
ISBN:9783540409601
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1834
Keywords: Mathematics , Algebraic geometry , Measure theory , Functions of real variables , Functions of complex variables , Mathematics , Algebraic Geometry , Measure and Integration , Real Functions , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2004-9783540383611:ONLINE Show nearby items on shelf
Title:Graphs on Surfaces and Their Applications
Author(s): Sergei K Lando
Date:2004
Size:1 online resource (455 p.)
Note:10.1007/978-3-540-38361-1
Contents:0 Introduction: What is This Book About -- 1 Constellations, Coverings, and Maps -- 2 Dessins d’Enfants -- 3 Introduction to the Matrix Integrals Method -- 4 Geometry of Moduli Spaces of Complex Curves -- 5 Meromorphic Functions and
Embedded Graphs -- 6 Algebraic Structures Associated with Embedded Graphs -- A.1 Representation Theory of Finite Groups -- A.1.1 Irreducible Representations and Characters -- A.1.2 Examples -- A.1.3 Frobenius’s Formula -- A.2
Applications -- A.2.2 Examples -- A.2.3 First Application: Enumeration of Polygon Gluings -- A.2.4 Second Application: the Goulden-Jackson Formula -- A.2.5 Third Application: “Mirror Symmetry” in Dimension One -- References
ISBN:9783540383611
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Encyclopaedia of Mathematical Sciences, Low-Dimensional Topology II: 141
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Algorithms , Topology , Combinatorics , Physics , Mathematics , Topology , Combinatorics , Algebraic Geometry , Several Complex Variables and Analytic Spaces , Theoretical, Mathematical and Computational Physics , Algorithms
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Call number:SPRINGER-2004-9781461302216:ONLINE Show nearby items on shelf
Title:Finite or Infinite Dimensional Complex Analysis and Applications
Author(s):
Date:2004
Size:1 online resource (381 p.)
Note:10.1007/978-1-4613-0221-6
Contents:I. Plenary Talks and Surveys -- 1 Nevanlinna theory and Diophantine approximations -- 2 In Ramanujan’s Shadow -- 3 Holomorphic functions on the Lie ball and related topics -- 4 Invariance of Plurigenera and Torsion-Freeness of Direct
Image Sheaves of Pluricanonial Bundles -- 5 Maxwell’s equations in Clifford calculus framework — an overview on the development -- 6 Generalized Analytic Functions and their contributions to the development of Mathematical Analysis --
II. Complex Methods in the Plane -- 7 On qp sequences -- 8 Reconstruction of an Analytic Function from a Sequence of Values: Existence and Regularization -- 9 p-adic Interpolation and Applications -- 10 Refined Order and the Paley
Problem in Vector Spaces -- 11 Integral representation of p-adic functions -- 12 Malmquist-Yosida type theorems for algebraic differential equations -- 13 Transformation techniques for partial differential equations -- 14 Besov-type
Characterizations for Quaternionic Bloch Functions -- 15 Bergman and Bauer Operators for Elliptic Equations in two Independent Variables -- 16 Some results on QK-type spaces -- III. Analysis in Higher Dimensions -- 17 Representations
in Polydomains -- 18 On Bq spaces of hyperholomorphic functions and the Bloch space in R3 -- 19 Regeneration in complex, quaternion and Clifford analysis -- 20 A note on sesquilinear forms and the generalized uncertainty relations in
*-algebras -- 21 The Hartogs Extension Theorem for the Multi-regular functions Taking Values in a Clifford algebra -- 22 The extension of entire functions of nuclear type on locally convex spaces -- 23 Some Properties of the
Inhomogeneous Generalized Cauchy-Riemann Systems in Quaternionic Algebra and its Applications -- 24 The Fundamental Solution of the Hyperbolic Dirac-Equation -- 25 Inhomogeneous ordinary differential equations and local cohomologies
and residues -- 26 Infinite dimensional CR category
ISBN:9781461302216
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Advances in Complex Analysis and Its Applications : 2
Keywords: Mathematics , Functions of complex variables , Partial differential equations , Special functions , Mathematics , Several Complex Variables and Analytic Spaces , Partial Differential Equations , Functions of a Complex Variable , Special Functions
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Call number:SPRINGER-2004-9781461200413:ONLINE Show nearby items on shelf
Title:Rigid Analytic Geometry and Its Applications
Author(s): Jean Fresnel
Date:2004
Size:1 online resource (299 p.)
Note:10.1007/978-1-4612-0041-3
Contents:1 Valued Fields and Normed Spaces -- 1.1 Valued fields -- 1.2 Banach spaces and Banach algebras -- 2 The Projective Line -- 2.1 Some definitions -- 2.2 Holomorphic functions on an affinoid subset -- 2.3 The residue theorem -- 2.4 The
Grothendieck topology on P -- 2.5 Some sheaves on P -- 2.6 Analytic subspaces of P -- 2.7 Cohomology on an analytic subspace of P -- 3 Affinoid Algebras -- 3.1 Definition of an affinoid algebra -- 3.2 Consequences of the Weierstrass
theorem -- 3.3 Affinoid spaces, Examples -- 3.4 Properties of the spectral (semi-)norm -- 3.5 Integral extensions of affinoid algebras -- 3.6 The differential module ?A/kf -- 3.7 Products of affinoid spaces, Picard groups -- 4 Rigid
Spaces -- 4.1 Rational subsets -- 4.2 The weak G-topology and Tate’s theorem -- 4.3 General rigid spaces -- 4.4 Sheaves on a rigid space -- 4.5 Coherent analytic sheaves -- 4.6 The sheaf of meromorphic functions -- 4.7 Rigid vector
bundles -- 4.8 Analytic reductions and formal schemes -- 4.9 Analytic reductions of a subspace of Pk1, an -- 4.10 Separated and proper rigid spaces -- 5 Curves and Their Reductions -- 5.1 The Tate curve -- 5.2 Néron models for abelian
varieties -- 5.3 The Néron model of an elliptic curve -- 5.4 Mumford curves and Schottky groups -- 5.5 Stable reduction of curves -- 5.6 A rigid proof of stable reduction for curves -- 5.7 The universal analytic covering of a curve --
6 Abelian Varieties -- 6.1 The complex case -- 6.2 The non-archimedean case -- 6.3 The analytification of an algebraic torus -- 6.4 Lattices and analytic tori -- 6.5 Meromorphic functions on an analytic torus -- 6.6 Analytic tori and
abelian varieties -- 6.7 Néron models and uniformization -- 7 Points of Rigid Spaces, Rigid Cohomology -- 7.1 Points and sheaves on an affinoid space -- 7.2 Explicit examples in dimension 1 -- 7.3 $$ \mathcal{P} $$(X) and the
reductions of X -- 7.4 Base change for overconvergent sheaves -- 7.5 Overconvergent affinoid spaces -- 7.6 Monsky-Washnitzer cohomology -- 7.7 Rigid cohomology -- 8 Etale Cohomology of Rigid Spaces -- 8.1 Etale morphisms -- 8.2 The
étale site -- 8.3 Etale points, overconvergent étale sheaves -- 8.4 Etale cohomology in dimension 1 -- 8.5 Higher dimensional rigid spaces -- 9 Covers of Algebraic Curves -- 9.1 Introducing the problem -- 9.2 I. Serre’s result -- 9.3
II. Rigid construction of coverings -- 9.4 III. Reductions of curves modulo p -- References -- List of Notation
ISBN:9781461200413
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 218
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Geometry , Number theory , Mathematics , Geometry , Algebraic Geometry , Several Complex Variables and Analytic Spaces , Number Theory
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Call number:SPRINGER-2004-9781402079511:ONLINE Show nearby items on shelf
Title:Value Distribution Theory and Related Topics
Author(s):
Date:2004
Size:1 online resource (333 p.)
Note:10.1007/b131070
Contents:Geometric value distribution theory -- A New Program of Investigations in Analysis: Gamma-Lines Approaches -- On Level Sets of Quasiconformal Mappings -- Classical value distribution theory -- On the Unintegrated Nevanlinna
Fundamental Inequality for Meromorphic Functions of Slow Growth -- On Some New Concept of Exceptional Values -- Maximum Modulus Points, Deviations and Spreads of Meromorphic Functions -- Composition Theorems, Multiplier Sequences and
Complex Zero Decreasing Sequences -- Nevanlinna Theory in an Annulus -- On Strong Asymptotic Tracts of Functions Holomorphic in a Disk -- Complex differential and functional equations -- A New Trend in Complex Differential Equations:
Quasimeromorphic Solutions -- On the Functional Equation P(F)=Q(G) -- Value Distribution of the Higher Order Analogues of the First Painlevé Equation -- Some Further Results on the Functional Equation P(F)=Q(G) -- Several variables
theory -- Recent Topics in Uniqueness Problem for Meromorphic Mappings -- On Interpolation Problems in Cn -- Jet Bundles and its Applications in Value Distribution of Holomorphic Mappings -- Normal Families of Meromorphic Mappings of
Several Complex Variables into the Complex Projective Space
ISBN:9781402079511
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Advances in Complex Analysis and Its Applications : 3
Keywords: Mathematics , Functions of complex variables , Differential equations , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Ordinary Differential Equations
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Call number:SPRINGER-2004-9781402022067:ONLINE Show nearby items on shelf
Title:Complex Spaces in Finsler, Lagrange and Hamilton Geometries
Author(s): Gheorghe Munteanu
Date:2004
Size:1 online resource (228 p.)
Note:10.1007/978-1-4020-2206-7
Contents:1 Complex Manifolds -- 1.1 Rudiments of several complex variables -- 1.2 Complex and almost complex manifolds -- 1.3 Hermitian and Kählerian manifolds -- 2 Complex and holomorphic vector bundles -- 2.1 Complex vector bundles -- 2.2
Holomorphic vector bundles -- 2.3 Chern classes -- 2.4 Einstein-Hermitian vector bundles -- 3 The geometry of holomorphic tangent bundle -- 3.1 T?M manifold -- 3.2 N—complex linear connections on T?M -- 3.3 Metric structures on T?M --
4 Complex Finsler spaces -- 4.1 Complex Finsler metrics -- 4.2 Chern-Finsler complex connection -- 4.3 Transformations of Finsler N - (c.l.c.) -- 4.4 The Chern complex linear connection -- 4.5 Geodesic complex curves and holomorphic
curvature -- 4.6 v-cohomology of complex Finsler manifolds -- 5 Complex Lagrange geometry -- 5.1 Complex Lagrange spaces -- 5.2 The generalized complex Lagrange spaces -- 5.3 Lagrange geometry via complex Lagrange geometry -- 5.4
Holomorphic subspaces of a complex Lagrange space -- 6 Hamilton and Cartan complex spaces -- 6.1 The geometry of T?*M bundle -- 6.2 N-complex linear connection on T?*M -- 6.3 Metric Hermitian structure on T?*M -- 6.4 Complex Hamilton
space -- 6.5 Complex Cartan spaces -- 6.6 Complex Legendre transformation -- 6.7 ?-dual complex Lagrange-Hamilton spaces -- 6.8 ?-dual N - (c.l.c.) -- 6.9 ?-dual complex Finsler-Cartan spaces -- 6.10 The ?-dual holomorphic sectional
curvature -- 6.11 Recovering the real Hamilton geometry -- 6.12 Holomorphic subspaces of a complex Hamilton space -- 7 Complex Finsler vector bundles -- 7.1 The geometry of total space of a holomorphic vector bundle -- 7.2 Finsler
structures and partial connections
ISBN:9781402022067
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 141
Keywords: Mathematics , Functions of complex variables , Mathematical models , Differential geometry , Physics , Quantum physics , Mathematics , Differential Geometry , Several Complex Variables and Analytic Spaces , Quantum Physics , Theoretical, Mathematical and Computational Physics , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-2004-9781402020292:ONLINE Show nearby items on shelf
Title:Resolution of Curve and Surface Singularities in Characteristic Zero
Author(s): K Kiyek
Date:2004
Size:1 online resource (486 p.)
Note:10.1007/978-1-4020-2029-2
Contents:I Valuation Theory -- 1 Marot Rings -- 2 Manis Valuation Rings -- 3 Valuation Rings and Valuations -- 4 The Approximation Theorem For Independent Valuations -- 5 Extensions of Valuations -- 6 Extending Valuations to Algebraic
Overfields -- 7 Extensions of Discrete Valuations -- 8 Ramification Theory of Valuations -- 9 Extending Valuations to Non-Algebraic Overfields -- 10 Valuations of Algebraic Function Fields -- 11 Valuations Dominating a Local Domain --
II One-Dimensional Semilocal Cohen-Macaulay Rings -- 1 Transversal Elements -- 2 Integral Closure of One-Dimensional Semilocal Cohen-Macaulay Rings -- 3 One-Dimensional Analytically Unramified and Analytically Irreducible CM-Rings -- 4
Blowing up Ideals -- 5 Infinitely Near Rings -- III Differential Modules and Ramification -- 1 Introduction -- 2 Norms and Traces -- 3 Formally Unramified and Unramified Extensions -- 4 Unramified Extensions and Discriminants -- 5
Ramification For Quasilocal Rings -- 6 Integral Closure and Completion -- IV Formal and Convergent Power Series Rings -- 1 Formal Power Series Rings -- 2 Convergent Power Series Rings -- 3 Weierstraß Preparation Theorem -- 4 The
Category of Formal and Analytic Algebras -- 5 Extensions of Formal and Analytic Algebras -- V Quasiordinary Singularities -- 1 Fractionary Power Series -- 2 The Jung-Abhyankar Theorem: Formal Case -- 3 The Jung-Abhyankar Theorem:
Analytic Case -- 4 Quasiordinary Power Series -- 5 A Generalized Newton Algorithm -- 6 Strictly Generated Semigroups -- VI The Singularity Zq = XYp -- 1 Hirzebruch-Jung Singularities -- 2 Semigroups and Semigroup Rings -- 3 Continued
Fractions -- 4 Two-Dimensional Cones -- 5 Resolution of Singularities -- VII Two-Dimensional Regular Local Rings -- 1 Ideal Transform -- 2 Quadratic Transforms and Ideal Transforms -- 3 Complete Ideals -- 4 Factorization of Complete
Ideals -- 5 The Predecessors of a Simple Ideal -- 6 The Quadratic Sequence -- 7 Proximity -- 8 Resolution of Embedded Curves -- VIII Resolution of Singularities -- 1 Blowing up Curve Singularities -- 2 Resolution of Surface
Singularities I: Jung’s Method -- 3 Quadratic Dilatations -- 4 Quadratic Dilatations of Two-Dimensional Regular Local Rings -- 5 Valuations of Algebraic Function Fields in Two Variables -- 6 Uniformization -- 7 Resolution of Surface
Singularities II: Blowing up and Normalizing -- Appendices -- A Results from Classical Algebraic Geometry -- 1 Generalities -- 1.1 Ideals and Varieties -- 1.2 Rational Functions and Maps -- 1.3 Coordinate Ring and Local Rings -- 1.4
Dominant Morphisms and Closed Embeddings -- 1.5 Elementary Open Sets -- 1.6 Varieties as Topological Spaces -- 1.7 Local Ring on a Subvariety -- 2 Affine and Finite Morphisms -- 3 Products -- 4 Proper Morphisms -- 4.1 Space of
Irreducible Closed Subsets -- 4.3 Proper Morphisms -- 5 Algebraic Cones and Projective Varieties -- 6 Regular and Singular Points -- 7 Normalization of a Variety -- 8 Desingularization of a Variety -- 9 Dimension of Fibres -- 10
Quasifinite Morphisms and Ramification -- 10.1 Quasifinite Morphisms -- 10.2 Ramification -- 11 Divisors -- 12 Some Results on Projections -- 13 Blowing up -- 14 Blowing up: The Local Rings -- B Miscellaneous Results -- 1 Ordered
Abelian Groups -- 1.1 Isolated Subgroups -- 1.2 Initial Index -- 1.3 Archimedean Ordered Groups -- 1.4 The Rational Rank of an Abelian Group -- 2 Localization -- 3 Integral Extensions -- 4 Some Results on Graded Rings and Modules --
4.1 Generalities -- 4.3 Homogeneous Localization -- 4.4 Integral Closure of Graded Rings -- 5 Properties of the Rees Ring -- 6 Integral Closure of Ideals -- 6.1 Generalities -- 6.2 Integral Closure of Ideals -- 6.3 Integral Closure of
Ideals and Valuation Theory -- 7 Decomposition Group and Inertia Group -- 8 Decomposable Rings -- 9 The Dimension Formula -- 10 Miscellaneous Results -- 10.1 The Chinese Remainder Theorem -- 10.2 Separable Noether Normalization -- 10.3
The Segre Ideal -- 10.4 Adjoining an Indeterminate -- 10.5 Divisor Group and Class Group -- 10.6 Calculating a Multiplicity -- 10.7 A Length Formula -- 10.8 Quasifinite Modules -- 10.9 Maximal Primary Ideals -- 10.10 Primary
Decomposition in Non-Noetherian Rings -- 10.11 Discriminant of a Polynomial -- Index of Symbols
ISBN:9781402020292
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algebras and Applications: 4
Keywords: Mathematics , Algebraic geometry , Commutative algebra , Commutative rings , Algebra , Field theory (Physics) , Functions of complex variables , Mathematics , Algebraic Geometry , Commutative Rings and Algebras , Field Theory and Polynomials , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2004-9780817681708:ONLINE Show nearby items on shelf
Title:Arithmetic of Higher-Dimensional Algebraic Varieties
Author(s):
Date:2004
Edition:1
Size:1 online resource (287 p.)
Note:10.1007/978-0-8176-8170-8
Contents:Diophantine equations: progress and problems -- Rational points and analytic number theory -- Weak approximation on algebraic varieties -- Counting points on varieties using universal torsors -- The Cox ring of a Del Pezzo surface --
Counting rational points on threefolds -- Remarques sur l’approximation faible sur un corps de fonctions d’une variable -- K3 surfaces over number fields with geometric Picard number one -- Jumps in Mordell-Weil rank and Arithmetic
Surjectivity -- Universal torsors and Cox rings -- Random diophantine equations -- Descent on simply connected surfaces over algebraic number fields -- Rational points on compactifications of semi-simple groups of rank 1 -- Weak
Approximation on Del Pezzo surfaces of degree 4 -- Transcendental Brauer-Manin obstruction on a pencil of elliptic curves
ISBN:9780817681708
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 226
Keywords: Mathematics , Algebraic geometry , Algebra , Field theory (Physics) , Functions of complex variables , Number theory , Mathematics , Number Theory , Algebraic Geometry , Field Theory and Polynomials , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2004-9780817681647:ONLINE Show nearby items on shelf
Title:An Introduction to the Uncertainty Principle Hardy’s Theorem on Lie Groups
Author(s): Sundaram Thangavelu
Date:2004
Size:1 online resource (174 p.)
Note:10.1007/978-0-8176-8164-7
Contents:1 Euclidean Spaces -- 1.1 Fourier transform on L1(?n) -- 1.2 Hermite functions and L2 theory -- 1.3 Spherical harmonics and symmetry properties -- 1.4 Hardy’s theorem on ?n -- 1.5 Beurling’s theorem and its consequences -- 1.6 Further
results and open problems -- 2 Heisenberg Groups -- 2.1 Heisenberg group and its representations -- 2.2 Fourier transform on Hn -- 2.3 Special Hermite functions -- 2.4 Fourier transform of radial functions -- 2.5 Unitary group and
spherical harmonics -- 2.6 Spherical harmonics and the Weyl transform -- 2.7 Weyl correspondence of polynomials -- 2.8 Heat kernel for the sublaplacian -- 2.9 Hardy’s theorem for the Heisenberg group -- 2.10 Further results and open
problems -- 3 Symmetric Spaces of Rank 1 -- 3.1 A Riemannian space associated to Hn -- 3.2 The algebra of radial functions on S -- 3.3 Spherical Fourier transform -- 3.4 Helgason Fourier transform -- 3.5 Hecke-Bochner formula for the
Helgason Fourier transform -- 3.6 Jacobi transforms -- 3.7 Estimating the heat kernel -- 3.8 Hardy’s theorem for the Helgason Fourier transform -- 3.9 Further results and open problems
ISBN:9780817681647
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 217
Keywords: Mathematics , Harmonic analysis , Fourier analysis , Functional analysis , Functions of complex variables , Mathematics , Abstract Harmonic Analysis , Fourier Analysis , Functional Analysis , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2003-9789401708074:ONLINE Show nearby items on shelf
Title:Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
Author(s): L. S Maergoiz
Date:2003
Edition:Second Edition, Revised and Enlarged
Size:1 online resource (362 p.)
Note:10.1007/978-94-017-0807-4
Contents:1 Preliminary -- 2 A Method of Identifying Homeostasis Relaxation Characteristics -- 3 Indicator Diagram of an Entire Function of One Variable with Nonnegative Indicator -- 4 Plane Indicator Diagram of Entire Function of Order ? > 0
with the Indicator of General Form -- 5 Spaces of Entire Functions of Order ? > 0 with Restrictions on the indicator -- 6 Geometrical Analysis of Asymptotics of Functions Plurisubgarmonic in ?n -- 7 Growth Characteristics of Entire
Functions (Orders, Types) and Their Applications -- 8 Indicator Diagram of an Entire Function of Several Variables with Nonnegative Indicator -- Appendix A Riemann Surface of the Inverse Function for a Polynomial of Fractional Order --
A.1 Some topological information -- A.2 Construction of the Riemann surface in question and its properties -- Appendix B Indicator and Conjugate Diagrams of Entire Function of a Given Proximate Order -- B.1 Necessary information about
proximate orders. Indicator diagram -- B.2 Analytic proximate orders and associated functions -- B.3 Entire functions associated with an analytic proximate order -- B.4 Entire function of a given proximate order and with nonnegative
indicator -- B.5 Analytic proximate orders generated by entire or meromorphic functions -- B.6 Applications of the preceding results -- Comments -- References to Chapters 1, 3–8 -- References to Chapter 2 -- Notation
ISBN:9789401708074
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 559
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Functions of real variables , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Real Functions , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-2003-9783540364641:ONLINE Show nearby items on shelf
Title:Deformations of Singularities
Author(s): Jan Stevens
Date:2003
Size:1 online resource (166 p.)
Note:10.1007/b10723
Contents:Introduction -- Deformations of singularities -- Standard bases -- Infinitesimal deformations -- Example: the fat point of multiplicity four -- Deformations of algebras -- Formal deformation theory -- Deformations of compact manifolds
-- How to solve the deformation equation -- Convergence for isolated singularities -- Quotient singularities -- The projection method -- Formats -- Smoothing components of curves -- Kollár's conjectures -- Cones over curves -- The
versal deformation of hyperelliptic cones -- References -- Index
ISBN:9783540364641
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1811
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Differential geometry , Mathematics , Differential Geometry , Several Complex Variables and Analytic Spaces , Algebraic Geometry
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Call number:SPRINGER-2003-9781475737752:ONLINE Show nearby items on shelf
Title:Unicity of Meromorphic Mappings
Author(s): Pei-Chu Hu
Date:2003
Size:1 online resource (467 p.)
Note:10.1007/978-1-4757-3775-2
Contents:1 Nevanlinna theory -- 2 Uniqueness of meromorphic functions on ? -- 3 Uniqueness of meromorphic functions on ?m -- 4 Uniqueness of meromorphic mappings -- 5 Algebroid functions of several variables -- References -- Symbols
ISBN:9781475737752
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Advances in Complex Analysis and its Applications : 1
Keywords: Mathematics , Algebra , Field theory (Physics) , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Global analysis (Mathematics) , Manifolds (Mathematics) , Mathematics , Analysis , Several Complex Variables and Analytic Spaces , Functions of a Complex Variable , Global Analysis and Analysis on Manifolds , Field Theory and Polynomials
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Call number:SPRINGER-2003-9781461200116:ONLINE Show nearby items on shelf
Title:Partial Differential Equations and Mathematical Physics In Memory of Jean Leray
Author(s):
Date:2003
Size:1 online resource (243 p.)
Note:10.1007/978-1-4612-0011-6
Contents:Differential Forms, Cycles and Hodge Theory on Complex Analytic Spaces -- On Exact Solutions of Linear PDEs -- Necessary Conditions for Hyperbolic Systems -- Monodromy of the Ramified Cauchy Problem -- Nonlinear Stability of an
Expanding Universe with S1Isometry Group -- On the Cauchy Problem for a Weakly Hyperbolic Operator: An Intermediate Case between Effective Hyperbolicy and Levi Condition -- Symplectic Path Intersections and the Leray Index -- A Global
Cauchy—Kowalewski Theorem in Some Gevrey Classes -- Sub-Riemannian Geometry and Subelliptic PDEs -- On the Analytic Continuation of the Solution of the Cauchy Problem -- Strong Gevrey Solvability for a System of Linear Partial
Differential Equations -- Spherically Symmetric Solutions of the Compressible Euler Equation -- Hyperbolic Cauchy Problem Well Posed in the Class of Gevrey -- Absence of Eigenvalues of Dirac Type Operators -- The Behaviors of Singular
Solutions of Partial Differential Equations in Some Class in the Complex Domain -- Systèmes Uniformément Diagonalisables, Dimension Réduite et Symétrie II -- On Hypoellipticity of the Operator exp $$ \left[ { - {{\left| {{x_1}}
\right|}^{ - \delta }}} \right]D_1^2 + x_1^4D_2^2 + 1 $$
ISBN:9781461200116
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Nonlinear Differential Equations and Their Applications : 52
Keywords: Mathematics , Partial differential equations , Functions of complex variables , Physics , Mathematics , Partial Differential Equations , Several Complex Variables and Analytic Spaces , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2002-9789401731836:ONLINE Show nearby items on shelf
Title:Summability of Multi-Dimensional Fourier Series and Hardy Spaces
Author(s): Ferenc Weisz
Date:2002
Size:1 online resource (332 p.)
Note:10.1007/978-94-017-3183-6
Contents:1. Multi-Dimensional Dyadic Hardy Spaces -- 2. Multi-Dimensional Classical Hardy Spaces -- 3. Summability of D-Dimensional Walsh-Fourier Series -- 4. The D-Dimensional Dyadic Derivative -- 5. Summability of D-Dimensional
Trigonometric-Fourier Series -- 6. Summability of D-Dimensional Fourier Transforms -- 7. spline and Ciesielski Systems -- References
ISBN:9789401731836
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 541
Keywords: Mathematics , Approximation theory , Fourier analysis , Sequences (Mathematics) , Functions of complex variables , Probabilities , Mathematics , Fourier Analysis , Approximations and Expansions , Sequences, Series, Summability , Probability Theory and Stochastic Processes , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2002-9783642562020:ONLINE Show nearby items on shelf
Title:Complex Geometry Collection of Papers Dedicated to Hans Grauert
Author(s):
Date:2002
Size:1 online resource (340 p.)
Note:10.1007/978-3-642-56202-0
Contents:Even Sets of Eight Rational Curves on a K3-surface -- 0 Introduction -- 1 Double Sextics with Eight Nodes -- 2 Double Sextics with Eight Tritangents -- 3 Quartic Surfaces with Eight Nodes -- 4 Quartic Surfaces with Eight Lines -- 5
Double Quadrics with Eight Nodes -- 6 Double Quadrics with Eight Double Tangents -- 7 Comments -- References -- A Reduction Map for Nef Line Bundles -- 1 Introduction -- 2 A Reduction Map for Nef Line Bundles -- 3 A Counterexample --
References -- Canonical Rings of Surfaces Whose Canonical System has Base Points -- 0 Introduction -- 1 Canonical Systems with Base Points -- 2 The Canonical Ring of Surfaces with K2 = 7, pg = 4 Birational to a Sextic: From Algebra to
Geometry -- 3 The Canonical Ring of Surfaces with K2 = 7, pg = 4 Birational to a Sextic: Explicit Computations -- 4 An Explicit Family -- References -- Appendix 1 -- Appendix 2 -- Attractors -- 1 Introduction -- 2 Endomorphisms -- 3
Hyperbolic Diffeomorphisms -- 4 Holomorphic Endomorphisms of ?k -- References -- A Bound on the Irregularity of Abelian Scrolls in Projective Space -- 0 Introduction -- 1 Non-Existence of Scrolls -- 2 Existence of Scrolls -- References
-- On the Frobenius Integrability of Certain Holomorphic p-Forms -- 1 Main Results -- 2 Proof of the Main Theorem -- References -- Analytic Moduli Spaces of Simple (Co)Framed Sheaves -- 1 Introduction -- 2 Preparations -- 3 Simple
F-Coframed Sheaves -- 4 Proof of Theorem 1.1 -- References -- Cycle Spaces of Real Forms of SLn(?) -- 1 Background -- 2 Schubert Slices -- 3 Cycle Spaces of Open Orbits of SLn(?) and SLn(?) -- References -- On a Relative Version of
Fujita’s Freeness Conjecture -- 1 Introduction -- 2 Review on the Hodge Bundles -- 3 Parabolic Structure in Several Variables -- 4 Base Change and a Relative Vanishing Theorem -- 5 Proof of Theorem 1.7 -- References -- Characterizing
the Projective Space after Cho, Miyaoka and Shepherd-Barron -- 1 Introduction -- 2 Setup -- 3 Proof of the Characterization Theorem -- References -- Manifolds With Nef Rank 1 Subsheaves in $$ \Omega_X^1 $$ -- 1 Introduction -- 2
Generalities -- 3 The Case Where ?(X) = 1 -- 4 The Case Where ?(X) = 0 -- References -- The Simple Group of Order 168 and K3 Surfaces -- 0 Introduction -- 1 The Niemeier Lattices -- 2 Proof of the Main Theorem -- References -- A
Precise L2 Division Theorem -- 0 Introduction -- 1 L2 Extension Theorem on Complex Manifolds -- 2 Extension and Division -- 3 Proof of Theorem -- References -- Irreducible Degenerations of Primary Kodaira Surfaces -- 0 Introduction --
1 Smooth Kodaira Surfaces -- 2 D-semistable Surfaces with Trivial Canonical Class -- 3 Hopf Surfaces -- 4 Ruled Surfaces over Elliptic Curves -- 5 Rational Surfaces and Honeycomb Degenerations -- 6 The Completed Moduli Space and its
Boundary -- References -- Extension of Twisted Pluricanonical Sections with Plurisubharmonic Weight and Invariance of Semipositively Twisted Plurigenera for Manifolds Not Necessarily of General Type -- 0 Introduction -- 1 Review of
Existing Argument for Invariance of Plurigenera -- 2 Global Generation of Multiplier Ideal Sheaves with Estimates -- 3 Extension Theorems of Ohsawa-Takegoshi Type from Usual Basic Estimates with Two Weight Functions -- 4 Induction
Argument with Estimates -- 5 Effective Version of the Process of Taking Powers and Roots of Sections -- 6 Remarks on the Approach of Generalized Bergman Kernels -- References -- Base Spaces of Non-Isotrivial Families of Smooth Minimal
Models -- 1 Differential Forms on Moduli Stacks -- 2 Mild Morphisms -- 3 Positivity and Ampleness -- 4 Higgs Bundles and the Proof of 1.4 -- 5 Base Spaces of Families of Smooth Minimal Models -- 6 Subschemes of Moduli Stacks of
Canonically Polarized Manifolds -- 7 A Vanishing Theorem for Sections of Symmetric Powers of Logarithmic One Forms -- References -- Uniform Vector Bundles on Fano Manifolds and an Algebraic Proof of Hwang-Mok Characterization of
Grassmannians -- 0 Introduction -- 1 M-Uniform Manifolds -- 2 Atiyah Extension and Twisted Trivial Bundles -- 3 Characterization of Grassmann Manifolds -- 4 Characterization of Isotropic Grassmann Manifolds -- References
ISBN:9783642562020
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Geometry , Mathematics , Algebraic Geometry , Geometry , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2002-9783540477938:ONLINE Show nearby items on shelf
Title:Harmonic Functions on Groups and Fourier Algebras
Author(s): Cho-Ho Chu
Date:2002
Size:1 online resource (100 p.)
Note:10.1007/b83280
Contents:1. Introduction -- 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic
functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples -- 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3.
Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals -- References -- List of symbols -- Index
ISBN:9783540477938
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1782
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Functional analysis , Integral equations , Potential theory (Mathematics) , Functions of complex variables , Mathematics , Abstract Harmonic Analysis , Potential Theory , Integral Equations , Topological Groups, Lie Groups , Functional Analysis , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2002-9781468492736:ONLINE Show nearby items on shelf
Title:From Holomorphic Functions to Complex Manifolds
Author(s): Klaus Fritzsche
Date:2002
Size:1 online resource (398 p.)
Note:10.1007/978-1-4684-9273-6
Contents:I Holomorphic Functions -- 1. Complex Geometry -- 2. Power Series -- 3. Complex Differentiable Functions -- 4. The Cauchy Integral -- 5. The Hartogs Figure -- 6. The Cauchy-Riemann Equations -- 7. Holomorphic Maps -- 8. Analytic Sets
-- II Domains of Holomorphy -- 1. The Continuity Theorem -- 2. Plurisubharmonic Functions -- 3. Pseudoconvexity -- 4. Levi Convex Boundaries -- 5. Holomorphic Convexity -- 7. Examples and Applications -- 8. Riemann Domains over Cn --
9. The Envelope of Holomorphy -- III Analytic Sets -- 1. The Algebra of Power Series -- 2. The Preparation Theorem -- 3. Prime Factorization -- 4. Branched Coverings -- 5. Irreducible Components -- 6. Regular and Singular Points -- IV
Complex Manifolds -- 1. The Complex Structure -- 2. Complex Fiber Bundles -- 3. Cohomology -- 4. Meromorphie Functions and Divisors -- 5. Quotients and Submanifolds -- 6. Branched Riemann Domains -- 7. Modifications and Toric Closures
-- V Stein Theory -- 1. Stein Manifolds -- 2. The Levi Form -- 3. Pseudoconvexity -- 4. Cuboids -- 5. Special Coverings -- 6. The Levi Problem -- VI Kahler Manifolds -- 1. Differential Forms -- 2. Dolbeault Theory -- 3. Kähler Metrics
-- 4. The Inner Product -- 5. Hodge Decomposition -- 6. Hodge Manifolds -- 7. Applications -- VII Boundary Behavior -- 1. Strongly Pseudoconvex Manifolds -- 2. Subelliptic Estimates -- 3. Nebenhüllen -- 4. Boundary Behavior of
Biholomorphic Maps -- References -- Index of Notation
ISBN:9781468492736
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 213
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Mathematics , Functions of a Complex Variable , Analysis , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2002-9781461201014:ONLINE Show nearby items on shelf
Title:Computational Methods for Linear Integral Equations
Author(s): Prem K Kythe
Date:2002
Size:1 online resource (508 p.)
Note:10.1007/978-1-4612-0101-4
Contents:1 Introduction -- 1 1 Notation and Definitions -- 1.2 Classification -- 1.3 Function Spaces -- 1.4 Convergence -- 1.5 Inverse Operator -- 1.6 Nyström System -- 1.7 Other Types of Kernels -- 1.8 Neumann Series -- 1.9 Resolvent Operator
-- 1.10 Fredholm Alternative -- 2 Eigenvalue Problems -- 2.1 Linear Symmetric Equations -- 2.2 Residual Methods -- 2.3 Degenerate Kernels -- 2.4 Replacement by a Degenerate Kernel -- 2.5 Baterman’s Method -- 2.6 Generallized Eigenvalue
Problem -- 2.7 Applications -- 3 Equations of the Second Kind -- 3.1 Fredholm Equations -- 3.2 Volterra Equations -- 4 Classical Methods for FK2 -- 4.1 Expansion Method -- 4.2 Product-Integration Method -- 4.3 Quadrature Method -- 4.4
Deferred Correction Methods -- 4.5 A Modified Quadrature Method -- 4.6 Collocation Methods -- 4.7 Elliott’s Modification -- 5 Variational Methods -- 5.1 Galerkin Method -- 5.2 Ritz-Galerkin Methods -- 5.3 Special Cases -- 5.4
Fredholm-Nyström System -- 6 Iteration Methods -- 6.1 Simple Iterations -- 6.2 Quadrature Formulas -- 6.3 Error Analysis -- 6.4 Iterative Scheme -- 6.5 Krylov-Bogoliubov Method -- 7 Singular Equations -- 7.1 Singularities in Linear
Equations -- 7.2 Fredholm Theorems -- 7.3 Modified Quadrature Rule -- 7.4 Convolution-Type Kernels -- 7.5 Volterra-Type Singular Equations -- 7.6 Convolution Methods -- 7.7 Asymptotic Methods for Log-Singular Equations -- 7.8 Iteration
Methods -- 7.9 Singular Equations with the Hilbert Kernel -- 7.10 Finite-Part Singular Equations -- 8 Weakly Singular Equations -- 8.1 Weakly Singular Kernel -- 8.2 Taylor’s Series Method -- 8.3 Lp-Approximation Method -- 8.4
Product-Integration Method -- 8.5 Splines Method -- 8.6 Weakly Singular Volterra Equations -- 9 Cauchy Singular Equations -- 9.1 Cauchy Singular Equations of the First Kind -- 9.2 Approximation by Trigonometric Polynomials -- 9.3
Cauchy Singular Equations of the Second Kind -- 9.4 From CSK2 to FK2 -- 9.5 Gauss-Jacobi Quadrature -- 9.6 Collocation Method for CSK1 -- 10 Sinc-Galerkin Methods -- 10.1 Sine Function Approximations -- 10.2 Conformal Maps and
Interpolation -- 10.3 Approximation Theory -- 10.4 Convergence -- 10.5 Sinc-Galerkin Scheme -- 10.6 Computation Guidelines -- 10.7 Sine-Collocation Method -- 10.8 Single-Layer Potential -- 10.9 Double-Layer Problem -- 11 Equations of
the First Kind -- 11.1 Inherent Ill-Posedness -- 11.2 Separable Kernels -- 11.3 Some Theorems -- 11.4 Numerical Methods -- 11.5 Volterra Equations of the First Kind -- 11.6 Abel’s Equation -- 11.7 Iterative Schemes -- 12 Inversion of
Laplace Transforms -- 12.1 Laplace Transforms -- 12.2 General Interpolating Scheme -- 12.3 Inversion by Fourier Series -- 12.4 Inversion by the Riemann Sum -- 12.5 Approximate Formulas -- A Quadrature Rules -- A. 1 Newton-Cotes
Quadratures -- A.2 Gaussian Quadratures -- A.3 Integration of Products -- A.4 Singular Integrals -- A.5 Infinite-Range Integrals -- A. 6 Linear Transformation of Quadratures -- A.7 Trigonometric Polynomials -- A.8 Condition Number --
A.7 Quadrature Tables -- B Orthogonal Polynomials -- B.l Zeros of Some Orthogonal Polynomials -- C Whittaker’s Cardinal Function -- C. 1 Basic Results -- C.2 Approximation of an Integral -- D Singular Integrals -- D.l Cauchy’s
Principal-Value Integrals -- D.2 P.V. of a Singular Integral on a Contour -- D.3 Hadamard’s Finite-Part Integrals -- D.4 Two-Sided Finite-Part Integrals -- D.5 One-Sided Finite-Part Integrals -- D.6 Examples of Cauchy P.V. Integrals --
D.7 Examples of Hadamard’s Finite-Part Integrals
ISBN:9781461201014
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Numerical analysis , Integral equations , Functions of complex variables , Mathematics , Integral Equations , Numeric Computing , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2002-9781461200734:ONLINE Show nearby items on shelf
Title:An Introduction to Multivariable Analysis from Vector to Manifold
Author(s): Piotr Mikusiński
Date:2002
Size:1 online resource (295 p.)
Note:10.1007/978-1-4612-0073-4
Contents:1 Vectors and Volumes -- 1.1 Vector Spaces -- 1.2 Some Geometric Machinery for RN -- 1.3 Transformations and Linear Transformations -- 1.4 A Little Matrix Algebra -- 1.5 Oriented Volume and Determinants -- 1.6 Properties of
Determinants -- 1.7 Linear Independence, Linear Subspaces, and Bases -- 1.8 Orthogonal Transformations -- 1.9 K-dimensional Volume of Parallelepipeds in RN -- 2 Metric Spaces -- 2.1 Metric Spaces -- 2.2 Open and Closed Sets -- 2.3
Convergence -- 2.4 Continuous Mappings -- 2.5 Compact Sets -- 2.6 Complete Spaces -- 2.7 Normed Spaces -- 3 Differentiation -- 3.1 Rates of Change and Derivatives as Linear Transformations -- 3.2 Some Elementary Properties of
Differentiation -- 3.3 Taylor’s Theorem, the Mean Value Theorem, and Related Results -- 3.4 Norm Properties -- 3.5 The Inverse Function Theorem -- 3.6 Some Consequences of the Inverse Function Theorem -- 3.7 Lagrange Multipliers -- 4
The Lebesgue Integral -- 4.1 A Bird’s-Eye View of the Lebesgue Integral -- 4.2 Integrable Functions -- 4.3 Absolutely Integrable Functions -- 4.4 Series of Integrable Functions -- 4.5 Convergence Almost Everywhere -- 4.6 Convergence in
Norm -- 4.7 Important Convergence Theorems -- 4.8 Integrals Over a Set -- 4.9 Fubini’s Theorem -- 5 Integrals on Manifolds -- 5.1 Introduction -- 5.2 The Change of Variables Formula -- 5.3 Manifolds -- 5.4 Integrals of Real-valued
Functions over Manifolds -- 5.5 Volumes in RN -- 6 K-Vectors and Wedge Products -- 6.1 K-Vectors in RN and the Wedge Product -- 6.2 Properties of A -- 6.3 Wedge Product and a Characterization of Simple K-Vectors -- 6.4 The Dot Product
and the Star Operator -- 7 Vector Analysis on Manifolds -- 7.1 Oriented Manifolds and Differential Forms -- 7.2 Induced Orientation, the Differential Operator, and Stokes’ Theorem What We Can Learn from Simple Cubes -- 7.3 Integrals
and Pullbacks -- 7.4 Stokes’Theorem for Chains -- 7.5 Stokes’Theorem for Oriented Manifolds -- 7.6 Applications -- 7.7 Manifolds and Differential Forms: An Intrinsic Point of View -- References
ISBN:9781461200734
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Applied mathematics , Engineering mathematics , Geometry , Differential geometry , Mathematics , Geometry , Analysis , Several Complex Variables and Analytic Spaces , Applications of Mathematics , Differential Geometry
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Call number:SPRINGER-2002-9780817681302:ONLINE Show nearby items on shelf
Title:A Distributional Approach to Asymptotics Theory and Applications
Author(s): Ricardo Estrada
Date:2002
Edition:Second Edition
Size:1 online resource (454 p.)
Note:10.1007/978-0-8176-8130-2
Contents:1 Basic Results in Asymptotics -- 1.1 Introduction -- 1.2 Order Symbols -- 1.3 Asymptotic Series -- 1.4 Algebraic and Analytic Operations -- 1.5 Existence of Functions with a Given Asymptotic Expansion -- 1.6 Asymptotic Power Series
in a Complex Variable -- 1.7 Asymptotic Approximation of Partial Sums -- 1.8 The Euler-Maclaurin Summation Formula -- 1.9 Exercises -- 2 Introduction to the Theory of Distributions -- 2.1 Introduction -- 2.2 The Space of Distributions
D? -- 2.3 Algebraic and Analytic Operations -- 2.4 Regularization, Pseudofunction and Hadamard Finite Part -- 2.5 Support and Order -- 2.6 Homogeneous Distributions -- 2.7 Distributional Derivatives of Discontinuous Functions -- 2.8
Tempered Distributions and the Fourier Transform -- 2.9 Distributions of Rapid Decay -- 2.10 Spaces of Distributions Associated with an Asymptotic Sequence -- 2.11 Exercises -- 3 A Distributional Theory for Asymptotic Expansions -- 3.1
Introduction -- 3.2 The Taylor Expansion of Distributions -- 3.3 The Moment Asymptotic Expansion -- 3.4 Expansions in the Space P? -- 3.5 Laplace’s Asymptotic Formula -- 3.6 The Method of Steepest Descent -- 3.7 Expansion of
Oscillatory Kernels -- 3.8 Time-Domain Asymptotics -- 3.9 The Expansion of f (?x) as ? ? ? in Other Cases -- 3.10 Asymptotic Separation of Variables -- 3.11 Exercises -- 4 Asymptotic Expansion of Multidimensional Generalized Functions
-- 4.1 Introduction -- 4.2 Taylor Expansion in Several Variables -- 4.3 The Multidimensional Moment Asymptotic Expansion -- 4.4 Laplace’s Asymptotic Formula -- 4.5 Fourier Type Integrals -- 4.6 Time-Domain Asymptotics -- 4.7 Further
Examples -- 4.8 Tensor Products and Partial Asymptotic Expansions -- 4.9 An Application in Quantum Mechanics -- 4.10 Expansion of Kernels of the Type f (?x, x) -- 4.11 Exercises -- 5 Asymptotic Expansion of Certain Series Considered by
Ramanujan -- 5.1 Introduction -- 5.2 Basic Formulas -- 5.3 Lambert Type Series -- 5.4 Distributionally Small Sequences -- 5.5 Multiple Series -- 5.6 Unrestricted Partitions -- 5.7 Exercises -- 6 Cesàro Behavior of Distributions -- 6.1
Introduction -- 6.2 Summability of Series and Integrals -- 6.3 The Behavior of Distributions in the (C) Sense -- 6.4 The Cesàro Summability of Evaluations -- 6.5 Parametric Behavior -- 6.6 Characterization of Tempered Distributions --
6.7 The Space K? -- 6.8 Spherical Means -- 6.9 Existence of Regularizations -- 6.10 The Integral Test -- 6.11 Moment Functions -- 6.12 The Analytic Continuation of Zeta Functions -- 6.13 Fourier Series -- 6.14 Summability of
Trigonometric Series -- 6.15 Distributional Point Values of Fourier Series -- 6.16 Spectral Asymptotics -- 6.17 Pointwise and Average Expansions -- 6.18 Global Expansions -- 6.19 Asymptotics of the Coincidence Limit -- 6.20 Exercises
-- 7 Series of Dirac Delta Functions -- 7.1 Introduction -- 7.2 Basic Notions -- 7.3 Several Problems that Lead to Series of Deltas -- 7.4 Dual Taylor Series as Asymptotics of Solutions of Equations -- 7.5 Boundary Layers -- 7.6
Spectral Content Asymptotics -- 7.7 Exercises -- References
ISBN:9780817681302
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Statistics , Mathematics , Analysis , Applications of Mathematics , Statistical Theory and Methods
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Call number:SPRINGER-2001-9783662125908:ONLINE Show nearby items on shelf
Title:Nevanlinna’s Theory of Value Distribution The Second Main Theorem and its Error Terms
Author(s): William Cherry
Date:2001
Size:1 online resource (203 p.)
Note:10.1007/978-3-662-12590-8
Contents:1. The First Main Theorem -- 2. The Second Main Theorem via Negative Curvature -- 3. Logarithmic Derivatives -- 4. The Second Main Theorem via Logarithmic Derivatives -- 5. Some Applications -- 6. A Further Digression into Number
Theory: Theorems of Roth and Khinchin -- 7. More on the Error Term -- Glossary of Notation
ISBN:9783662125908
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functions of complex variables , Number theory , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Number Theory
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Call number:SPRINGER-2001-9781475732986:ONLINE Show nearby items on shelf
Title:Analytic Extension Formulas and their Applications
Author(s):
Date:2001
Size:1 online resource (288 p.)
Note:10.1007/978-1-4757-3298-6
Contents:1. Extending holomorphic functions from subvarieties -- 2. Representations of analytic functions on typical domains in terms of local values and truncation error estimates -- 3. Uniqueness in determining damping coefficients in
hyperbolic equations -- 4. Analytic continuation of Cauchy and exponential transforms -- 5. Analytic function spaces and their applications to nonlinear evolution equations -- 6. A sampling principle associated with Saitoh’s
fundamental theory of linear transformations -- 7. The enclosure method and its applications -- 8. On analytic properties of a multiple L-function -- 9. Multi-dimensional inverse scattering theory -- 10. Holomorphic spaces related to
orthogonal polynomials and analytic continuation of functions -- 11. Extension and division on complex manifolds -- 12. Analytic extension formulas, integral transforms and reproducing kernels -- 13. Analytic continuation beyond the
ideal boundary -- 14. Justification of a formal derivation of the Euler-Maclaurin summation formula -- 15. Extension of Löwner-Heinz inequality via analytic continuation -- 16. The Calogero-Moser model, the Calogero model and analytic
extension
ISBN:9781475732986
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 9
Keywords: Mathematics , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Potential theory (Mathematics) , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Partial Differential Equations , Integral Transforms, Operational Calculus , Potential Theory
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Call number:SPRINGER-2001-9781461201755:ONLINE Show nearby items on shelf
Title:Complex Analysis in One Variable
Author(s): Raghavan Narasimhan
Date:2001
Edition:Second Edition
Size:1 online resource (381 p.)
Note:10.1007/978-1-4612-0175-5
Contents:I Complex Analysis in One Variable -- 1 Elementary Theory of Holomorphic Functions -- 2 Covering Spaces and the Monodromy Theorem -- 3 The Winding Number and the Residue Theorem -- 4 Picard’s Theorem -- 5 Inhomogeneous Cauchy-Riemann
Equation and Runge’s Theorem -- 6 Applications of Runge’s Theorem -- 7 Riemann Mapping Theorem and Simple Connectedness in the Plane -- 8 Functions of Several Complex Variables -- 9 Compact Riemann Surfaces -- 10 The Corona Theorem --
11 Subharmonic Functions and the Dirichlet Problem -- II Exercises -- 0 Review of Complex Numbers -- 1 Elementary Theory of Holomorphic Functions -- 2 Covering Spaces and the Monodromy Theorem -- 3 The Winding Number and the Residue
Theorem -- 4 Picard’s Theorem -- 5 The Inhomogeneous Cauchy—Riemann Equation and Runge’s Theorem -- 6 Applications of Runge’s Theorem -- 7 The Riemann Mapping Theorem and Simple Connectedness in the Plane -- 8 Functions of Several
Complex Variables -- 9 Compact Riemann Surfaces -- 10 The Corona Theorem -- 11 Subharmonic Functions and the Dirichlet Problem -- Notes for the exercises -- References for the exercises
ISBN:9781461201755
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Functions of real variables , Mathematics , Real Functions , Functions of a Complex Variable , Algebraic Geometry , Analysis , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2000-9789401594158:ONLINE Show nearby items on shelf
Title:Meromorphic Functions over Non-Archimedean Fields
Author(s): Pei-Chu Hu
Date:2000
Size:1 online resource (295 p.)
Note:10.1007/978-94-015-9415-8
Contents:1 Basic facts in p-adic analysis -- 1.1 p-adic numbers -- 1.2 Field extensions -- 1.3 Maximum term of power series -- 1.4 Weierstrass preparation theorem -- 1.5 Newton polygons -- 1.6 Non-Archimedean meromorphic functions -- 2
Nevanlinna theory -- 2.1 Characteristic functions -- 2.2 Growth estimates of meromorphic functions -- 2.3 Two main theorems -- 2.4 Notes on the second main theorem -- 2.5 ‘abc’ conjecture over function fields -- 2.6 Waring’s problem
over function fields -- 2.7 Exponent of convergence of zeros -- 2.8 Value distribution of differential polynomials -- 3 Uniqueness of meromorphic functions -- 3.1 Adams-Straus’ uniqueness theorems -- 3.2 Multiple values of meromorphic
functions -- 3.3 Uniqueness polynomials of meromorphic functions -- 3.4 Unique range sets of meromorphic functions -- 3.5 The Frank-Reinders’ technique -- 3.6 Some urscm for M(?) and A(?) -- 3.7 Some ursim for meromorphic functions --
3.8 Unique range sets for multiple values -- 4 Differential equations -- 4.1 Malmquist-type theorems -- 4.2 Generalized Malmquist-type theorems -- 4.3 Further results on Malmquist-type theorems -- 4.4 Admissible solutions of some
differential equations -- 4.5 Differential equations of constant coefficients -- 5 Dynamics -- 5.1 Attractors and repellers -- 5.2 Riemann-Hurwitz relation -- 5.3 Fixed points of entire functions -- 5.4 Normal families -- 5.5 Montel’s
theorems -- 5.6 Fatou-Julia theory -- 5.7 Properties of the Julia set -- 5.8 Iteration of z ? zd -- 5.9 Iteration of z ? z2 + c -- 6 Holomorphic curves -- 6.1 Multilinear algebra -- 6.2 The first main theorem of holomorphic curves --
6.3 The second main theorem of holomorphic curves -- 6.4 Nochka weight -- 6.5 Degenerate holomorphic curves -- 6.6 Uniqueness of holomorphic curves -- 6.7 Second main theorem for hypersurfaces -- 6.8 Holomorphic curves into projective
varieties -- 7 Diophantine approximations -- 7.1 Schmidt’s subspace theorems -- 7.2 Vojta’s conjecture -- 7.3 General subspace theorems -- 7.4 Ru-Vojta’s subspace theorem for moving targets -- 7.5 Subspace theorem for degenerate
mappings -- A The Cartan conjecture for moving targets -- A.1 Non-degenerate holomorphic curves -- A.2 The Steinmetz lemma -- A.3 A defect relation for moving targets -- A.4 The Ru-Stoll techniques -- A.5 Growth of the Steinmetz-Stoll
mappings -- A.6 Moving targets in subgeneral position -- A.7 Moving targets in general position -- Symbols
ISBN:9789401594158
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 522
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Mathematics , Analysis , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2000-9783642571497:ONLINE Show nearby items on shelf
Title:Introduction to Calculus and Analysis II/1
Author(s): Richard Courant
Date:2000
Size:1 online resource (556 p.)
Note:10.1007/978-3-642-57149-7
Contents:1 Functions of Several Variables and Their Derivatives -- 1.1 Points and Points Sets in the Plane and in Space -- 1.2 Functions of Several Independent Variables -- 1.3 Continuity -- 1.4 The Partial Derivatives of a Function -- 1.5 The
Differential of a Function and Its Geometrical Meaning -- 1.6 Functions of Functions (Compound Functions) and the Introduction of New In-dependent Variables -- 1.7 The Mean Value Theorem and Taylor’s Theorem for Functions of Several
Variables -- 1.8 Integrals of a Function Depending on a Parameter -- 1.9 Differentials and Line Integrals -- 1.10 The Fundamental Theorem on Integrability of Linear Differential Forms -- Appendix A.1. The Principle of the Point of
Accumulation in Several Dimensions and Its Applications -- A.2. Basic Properties of Continuous Functions -- A.3. Basic Notions of the Theory of Point Sets -- A.4. Homogeneous functions. -- 2 Vectors, Matrices, Linear Transformations --
2.1 Operations with Vectors -- 2.2 Matrices and Linear Transformations -- 2.3 Determinants -- 2.4 Geometrical Interpretation of Determinants -- 2.5 Vector Notions in Analysis -- 3 Developments and Applications of the Differential
Calculus -- 3.1 Implicit Functions -- 3.2 Curves and Surfaces in Implicit Form -- 3.3 Systems of Functions, Transformations, and Mappings -- 3.4 Applications -- 3.5 Families of Curves, Families of Surfaces, and Their Envelopes -- 3.6
Alternating Differential Forms -- 3.7 Maxima and Minima -- Appendix A.1 Sufficient Conditions for Extreme Values -- A.2 Numbers of Critical Points Related to Indices of a Vector Field -- A.3 Singular Points of Plane Curves 360 A.4
Singular Points of Surfaces -- A.5 Connection Between Euler’s and Lagrange’s Representation of the motion of a Fluid -- A.6 Tangential Representation of a Closed Curve and the Isoperi-metric Inequality -- 4 Multiple Integrals -- 4.1
Areas in the Plane -- 4.2 Double Integrals -- 4.3 Integrals over Regions in three and more Dimensions -- 4.4 Space Differentiation. Mass and Density -- 4.5 Reduction of the Multiple Integral to Repeated Single Integrals -- 4.6
Transformation of Multiple Integrals -- 4.7 Improper Multiple Integrals -- 4.8 Geometrical Applications -- 4.9 Physical Applications -- 4.10 Multiple Integrals in Curvilinear Coordinates -- 4.11 Volumes and Surface Areas in Any Number
of Dimensions -- 4.12 Improper Single Integrals as Functions of a Parameter -- 4.13 The Fourier Integral -- 4.14 The Eulerian Integrals (Gamma Function) -- Appendix: Detailed Analysis of the Process Of Integration A.1 Area -- A.2
Integrals of Functions of Several Variables -- A.3 Transformation of Areas and Integrals -- A.4 Note on the Definition of the Area of a Curved Surface -- 5 Relations Between Surface and Volume Integrals -- 5.1 Connection Between Line
Integrals and Double Integrals in the Plane (The Integral Theorems of Gauss, Stokes, and Green) -- 5.2 Vector Form of the Divergence Theorem. Stokes’s Theorem -- 5.3 Formula for Integration by Parts in Two Dimensions. Green’s Theorem
-- 5.4 The Divergence Theorem Applied to the Transformation of Double Integrals -- 5.5 Area Differentiation. Transformation of Au to Polar Coordinates -- 5.6 Interpretation of the Formulae of Gauss and Stokes by Two-Dimensional Flows
-- 5.7 Orientation of Surfaces -- 5.8 Integrals of Differential Forms and of Scalars over Surfaces -- 5.9 Gauss’s and Green’s Theorems in Space -- 5.10 Stokes’s Theorem in Space -- 5.11 Integral Identities in Higher Dimensions --
Appendix: General Theory Of Surfaces And Of Surface Integals A.I Surfaces and Surface Integrals in Three dimensions -- A.2 The Divergence Theorem -- A.3 Stokes’s Theorem -- A.4 Surfaces and Surface Integrals in Euclidean Spaces of
Higher Dimensions -- A.5 Integrals over Simple Surfaces, Gauss’s Divergence Theorem, and the General Stokes Formula in Higher Dimensions -- 6 Differential Equations -- 6.1 The Differential Equations for the Motion of a Particle in
Three Dimensions -- 6.2 The General Linear Differential Equation of the First Order -- 6.3 Linear Differential Equations of Higher Order -- 6.4 General Differential Equations of the First Order -- 6.5 Systems of Differential Equations
and Differential Equations of Higher Order -- 6.6 Integration by the Method of Undermined Coefficients -- 6.7 The Potential of Attracting Charges and Laplace’s Equation -- 6.8 Further Examples of Partial Differential Equations from
Mathematical Physics -- 7 Calculus of Variations -- 7.1 Functions and Their Extrema -- 7.2 Necessary conditions for Extreme Values of a Functional -- 7.3 Generalizations -- 7.4 Problems Involving Subsidiary Conditions. Lagrange
Multipliers -- 8 Functions of a Complex Variable -- 8.1 Complex Functions Represented by Power Series -- 8.2 Foundations of the General Theory of Functions of a Complex Variable -- 8.3 The Integration of Analytic Functions -- 8.4
Cauchy’s Formula and Its Applications -- 8.5 Applications to Complex Integration (Contour Integration) -- 8.6 Many-Valued Functions and Analytic Extension -- List of Biographical Dates
ISBN:9783642571497
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Series:SpringerLink (Online service)
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-2000-9781461302711:ONLINE Show nearby items on shelf
Title:Proceedings of the Second ISAAC Congress Volume 2: This project has been executed with Grant No. 11–56 from the Commemorative Association for the Japan World Exposition (1970)
Author(s):
Date:2000
Size:1 online resource (821 p.)
Note:10.1007/978-1-4613-0271-1
ISBN:9781461302711
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 8
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral equations , Partial differential equations , Mathematics , Partial Differential Equations , Integral Equations , Functional Analysis , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2000-9781461302698:ONLINE Show nearby items on shelf
Title:Proceedings of the Second ISAAC Congress Volume 1: This project has been executed with Grant No. 11–56 from the Commemorative Association for the Japan World Exposition (1970)
Author(s):
Date:2000
Size:1 online resource (830 p.)
Note:10.1007/978-1-4613-0269-8
ISBN:9781461302698
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 7
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral equations , Partial differential equations , Mathematics , Partial Differential Equations , Integral Equations , Functional Analysis , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2000-9781461213666:ONLINE Show nearby items on shelf
Title:Analysis and Geometry on Complex Homogeneous Domains
Author(s): Jacques Faraut
Date:2000
Size:1 online resource (540 p.)
Note:10.1007/978-1-4612-1366-6
Contents:I Function Spaces on Complex Semi-groups by Jacques Faraut -- I Hilbert Spaces of Holomorphic Functions -- II Invariant Cones and Complex Semi-groups -- III Positive Unitary Representations -- IV Hilbert Function Spaces on Complex
Semi-groups -- V Hilbert Function Spaces on SL(2,?) -- VI Hilbert Function Spaces on a Complex Semi-simple Lie Group -- II Graded Lie Algebras and Pseudo-hermitian Symmetric Spaces by Soji Kaneyuki -- I Semisimple Graded Lie Algebras
-- II Symmetric R-Spaces -- III Pseudo-Hermitian Symmetric Spaces -- III Function Spaces on Bounded Symmetric Domains by Adam Kordnyi -- I Bergman Kernel and Bergman Metric -- II Symmetric Domains and Symmetric Spaces -- III
Construction of the Hermitian Symmetric Spaces -- IV Structure of Symmetric Domains -- V The Weighted Bergman Spaces -- VI Differential Operators -- VII Function Spaces -- IV The Heat Kernels of Non Compact Symmetric Spaces by Qi-keng
Lu -- I Introduction -- II The Laplace-Beltrami Operator in Various Coordinates -- III The Integral Transformations -- IV The Heat Kernel of the Hyperball R?(m, n) -- V The Harmonic Forms on the Complex Grassmann Manifold -- VI The
Horo-hypercircle Coordinate of a Complex Hyperball -- VII The Heat Kernel of RII(m) -- VIII The Matrix Representation of NIRGSS -- V Jordan Triple Systems by Guy Roos -- I Polynomial Identities -- II Jordan Algebras -- III The
Quasi-inverse -- IV The Generic Minimal Polynomial -- V Tripotents and Peirce Decomposition -- VI Hermitian Positive JTS -- VII Further Results and Open Problems
ISBN:9781461213666
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 185
Keywords: Mathematics , Algebra , Topological groups , Lie groups , Functions of complex variables , Differential geometry , Mathematics , Topological Groups, Lie Groups , Algebra , Several Complex Variables and Analytic Spaces , Differential Geometry
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Call number:SPRINGER-2000-9781461213147:ONLINE Show nearby items on shelf
Title:Regulators in Analysis, Geometry and Number Theory
Author(s):
Date:2000
Size:1 online resource (327 p.)
Note:10.1007/978-1-4612-1314-7
Contents:Cohomology of Congruence Subgroups of SU(2, 1)P and Hodge Cycles on Some Special Complex Hyperbolic Surfaces -- Remarks on Elliptic Motives -- On Dynamical Systems and Their Possible Significance for Arithmetic Geometry -- Algebraic
Differential Characters -- Some Computations in Weight 4 Motivic Complexes -- Geometry of the Trilogarithm and the Motivic Lie Algebra of a Field -- Complex Analytic Torsion Forms for Torus Fibrations and Moduli Spaces -- Théorèmes de
Lefschetz et de Hodge arithmétiques pour les variétés admettant une décomposition cellulaire -- Polylogarithmic Currents on Abelian Varieties -- Secondary Analytic Indices -- Variations of Hodge—de Rham Structure and Elliptic Modular
Units
ISBN:9781461213147
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 171
Keywords: Mathematics , Functions of complex variables , Differential geometry , Number theory , Topology , Mathematics , Number Theory , Several Complex Variables and Analytic Spaces , Differential Geometry , Topology
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Call number:SPRINGER-1999-9789401592994:ONLINE Show nearby items on shelf
Title:Differentiable and Complex Dynamics of Several Variables
Author(s): Pei-Chu Hu
Date:1999
Size:1 online resource (342 p.)
Note:10.1007/978-94-015-9299-4
Contents:1 Fatou-Julia type theory -- 2 Ergodic theorems and invariant sets -- 3 Hyperbolicity in differentiable dynamics -- 4 Some topics in dynamics -- 5 Hyperbolicity in complex dynamics -- 6 Iteration theory on ?m -- 7 Complex dynamics in
?m -- A Foundations of differentiable dynamics -- B Foundations of complex dynamics
ISBN:9789401592994
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 483
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Measure theory , Partial differential equations , Functions of complex variables , Differential geometry , Mathematics , Global Analysis and Analysis on Manifolds , Several Complex Variables and Analytic Spaces , Partial Differential Equations , Differential Geometry , Measure and Integration
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Call number:SPRINGER-1999-9783540484028:ONLINE Show nearby items on shelf
Title:The Minnesota Notes on Jordan Algebras and Their Applications
Author(s): Max Koecher
Date:1999
Size:1 online resource (184 p.)
Note:10.1007/BFb0096285
Contents:Domains of Positivity -- Omega Domains -- Jordan Algebras -- Real and Complex Jordan Algebras -- Complex Jordan Algebras -- Jordan Algebras and Omega Domains -- Half-Spaces -- Appendix: The Bergman kernel function
ISBN:9783540484028
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1710
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Topological groups , Lie groups , Functions of complex variables , Mathematics , Topological Groups, Lie Groups , Several Complex Variables and Analytic Spaces , Non-associative Rings and Algebras
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Call number:SPRINGER-1999-9781461332916:ONLINE Show nearby items on shelf
Title:Complex Methods for Partial Differential Equations
Author(s):
Date:1999
Size:1 online resource (334 p.)
Note:10.1007/978-1-4613-3291-6
Contents:1 A reflection principle and its applications -- 2 On some problems for first order elliptic systems in the plane -- 3 Differential-operator solutions for complex partial differential equations -- 4 On a generalized Riemann-Hilbert
boundary value problem for second order elliptic systems in the plane -- 5 Boundary value problems of the theory of generalized analytic functions -- 6 On well-posedness of problems for nonclassical systems of equations -- 7 An
application of the periodic Riemann boundary value problem to a periodic crack problem -- 8 Initial and boundary value problems for singular differential equations and applications to the theory of cusped bars and plates -- 9
Multidimensional logarithmic residues and their applications -- 10 The Neumann problem for the inhomogeneous pluriharmonic system in polydiscs -- 11 Second order Cauchy-Pompeiu representations -- 12 On a class of second order elliptic
overdetermined systems -- 13 Boundary spinors and values of holomorphic functions -- 14 Two approaches to non-commutative geometry -- 15 Some partial differential equations in Clifford analysis -- 16 Generalized monogenic functions
satisfying differential equations with anti-monogenic right-hand sides -- 17 Complex analytic method for hyperbolic equations of second order -- 18 Remarks on the solvability of Dirichlet problems in different function spaces -- 19
Complex methods in the theory of initial value problems -- 20 Optimal balls for solving fixed-point problems in Banach spaces -- 21 Wavelet transform of operators and functional calculus
ISBN:9781461332916
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 6
Keywords: Mathematics , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Functions of real variables , Mathematics , Partial Differential Equations , Integral Transforms, Operational Calculus , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Real Functions
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Call number:SPRINGER-1999-9781461332763:ONLINE Show nearby items on shelf
Title:Partial Differential and Integral Equations
Author(s):
Date:1999
Size:1 online resource (384 p.)
Note:10.1007/978-1-4613-3276-3
Contents:1 Gauss-Manin Connexion of Curve Singularities -- 2 Group Convolution Operators on Step of Two Nilpotent Lie Groups -- 3 Some Boundary Value Problems for Second Order Overdetermined Elliptic Systems in the Unit Ball of ?n -- 4
Riemann-Hilbert Boundary Value Problems in ?n -- 5 The Riemann-Hilbert Problem for Nonlinear Elliptic Complex Equations of First Order in Multiply Connected Infinite Domains -- 6 The Riemann-Hilbert Problem for First Order Complex
Equations of Mixed Type -- 7 On Totally Real Non-Compact Manifolds Globally Foliated by Analytic Discs -- 8 Boundary Behaviour of Vector-Valued Functions of Two Classes in Locally Convex Spaces -- 9 On Singular Integrals of the
Time-Harmonic Maxwell Equations Theory -- 10 Systems of First Order Partial Differential Equations — a Hypercomplex Approach -- 11 To Elliptic Theory for Domains with Piecewise Smooth Boundary in the Plane -- 12 Boundary Value Problems
for a System of First Order Equations of a Principal Type in the Plane -- 13 The Stability of the Riemann Boundary Value Problem for Vector-Valued M-Analytic Functions -- 14 A Class of Inverse Hilbert Boundary Value Problems -- 15
Cauchy Formula, Integral of Cauchy Type and Hilbert Problem for Bianalytic Functions -- 16 On Uniqueness Conditions for Entire Polyharmonic Functions -- 17 Bi-Analytic Functions and Their Applications in Elasticity -- 18 Effect of
Periodic Gasket on a Periodic Contact Problem -- 19 Singular Integral Operators and Singular Quadrature Operators for Singular Integral Equations with Hilbert Kernel -- 20 Some Co-Circular Crack Problems with Cyclic Symmetry -- 21 The
Oblique Derivative Problem for Nonlinear Parabolic Equations of Second Order with Measurable Coefficients in a Higher Dimensional Domain -- 22 Existence and Uniqueness for Boundary Value Contact Problems -- 23 Weakly Hyperbolic
Equations — a Modern Field in the Theory of Hyperbolic Equations -- 24 Eigenvalue Problems for Elliptic Type Partial Differential Operators with Spectral Parameter Contained Linearly in Boundary Conditions -- 25 On Indefinite Nonlinear
Neumann Problems -- 26 Higher Order Ordinary Differential Equations with Super-Singular Points -- 27 Applications of Methods of Integrals and Function Theory to Statistics
ISBN:9781461332763
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 2
Keywords: Mathematics , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Functions of real variables , Mathematics , Partial Differential Equations , Integral Transforms, Operational Calculus , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Real Functions
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Call number:SPRINGER-1999-9781461221661:ONLINE Show nearby items on shelf
Title:Analysis and Geometry in Several Complex Variables Proceedings of the 40th Taniguchi Symposium
Author(s):
Date:1999
Size:1 online resource (314 p.)
Note:10.1007/978-1-4612-2166-1
Contents:The Bergman Kernel and a Theorem of Tian -- Some Involutive Structures in Analysis and Geometry -- The Bergman Kernel in Quantum Mechanics -- WKB and the Periodic Table -- Local Sobolev-Bergman Kernels of Strictly Pseudoconvex Domains
-- Quantitative Estimates for Global Regularity -- Pdes Associated to the CR Embedding Theorem -- $$ \bar{\partial } $$ and $$ {\bar{\partial }_b} $$ Problems on Nonsmooth Domains -- A Note on the Closed Rangeness of Vector Bundle
Valued Tangential Cauchy-Riemann Operator -- Discrete Groups of Complex Hyperbolic Isometries and Pseudo-Hermitian Structures -- Pseudoconvex Domains in ?n: A Question on the 1-Convex Boundary Points -- Existence and Applications of
Analytic Zariski Decompositions -- Segre Polar Correspondence and Double Valued Reflection for General Ellipsoids -- G2-Geometry of Overdetermined Systems of Second Order289
ISBN:9781461221661
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Algebraic geometry , Functions of complex variables , Geometry , Mathematics , Several Complex Variables and Analytic Spaces , Algebraic Geometry , Algebra , Geometry , Functions of a Complex Variable
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Call number:SPRINGER-1999-9781461215882:ONLINE Show nearby items on shelf
Title:Handbook of Complex Variables
Author(s): Steven G Krantz
Date:1999
Size:1 online resource (290 p.)
Note:10.1007/978-1-4612-1588-2
Contents:1 The Complex Plane -- 1.1 Complex Arithmetic -- 1.2 The Exponential and Applications -- 1.3 Holomorphic Functions -- 1.4 The Relationship of Holomorphic and Harmonic Functions -- 2 Complex Line Integrals -- 2.1 Real and Complex Line
Integrals -- 2.2 Complex Differentiability and Conformality -- 2.3 The Cauchy Integral Theorem and Formula -- 2.4 A Coda on the Limitations of the Cauchy Integral Formula -- 3 Applications of the Cauchy Theory -- 3.1 The Derivatives of
a Holomorphic Function -- 3.2 The Zeros of a Holomorphic Function -- 4 Isolated Singularities and Laurent Series -- 4.1 The Behavior of a Holomorphic Function near an Isolated Singularity -- 4.2 Expansion around Singular Points -- 4.3
Examples of Laurent Expansions -- 4.4 The Calculus of Residues -- 4.5 Applications to the Calculation of Definite Integrals and Sums -- 4.6 Meromorphic Functions and Singularities at Infinity -- 5 The Argument Principle -- 5.1 Counting
Zeros and Poles -- 5.2 The Local Geometry of Holomorphic Functions -- 5.3 Further Results on the Zeros of Holomorphic Functions -- 5.4 The Maximum Principle -- 5.5 The Schwarz Lemma -- 6 The Geometric Theory of Holomorphic Functions --
6.1 The Idea of a Conformal Mapping -- 6.2 Conformal Mappings of the Unit Disc -- 6.3 Linear Fractional Transformations -- 6.4 The Riemann Mapping Theorem -- 6.5 Conformal Mappings of Annuli -- 7 Harmonic Functions -- 7.1 Basic
Properties of Harmonic Functions -- 7.2 The Maximum Principle and the Mean Value Property -- 7.3 The Poisson Integral Formula -- 7.4 Regularity of Harmonic Functions -- 7.5 The Schwarz Reflection Principle -- 7.6 Harnack’s Principle --
7.7 The Dirichlet Problem and Subharmonic Functions -- 7.8 The General Solution of the Dirichlet Problem -- 8 Infinite Series and Products -- 8.1 Basic Concepts Concerning Infinite Sums and Products -- 8.2 The Weierstrass Factorization
Theorem -- 8.3 The Theorems of Weierstrass and Mittag-Leffler -- 8.4 Normal Families -- 9 Applications of Infinite Sums and Products -- 9.1 Jensen’s Formula and an Introduction to Blaschke Products -- 9.2 The Hadamard Gap Theorem --
9.3 Entire Functions of Finite Order -- 10 Analytic Continuation -- 10.1 Definition of an Analytic Function Element -- 10.2 Analytic Continuation along a Curve -- 10.3 The Monodromy Theorem -- 10.4 The Idea of a Riemann Surface -- 10.5
Picard’s Theorems -- 11 Rational Approximation Theory -- 11.1 Runge’s Theorem -- 11.2 Mergelyan’s Theorem -- 12 Special Classes of Holomorphic Functions -- 12.1 Schlicht Functions and the Bieberbach Conjecture -- 12.2 Extension to the
Boundary of Conformal Mappings -- 12.3 Hardy Spaces -- 13 Special Functions -- 13.0 Introduction -- 13.1 The Gamma and Beta Functions -- 13.2 Riemann’s Zeta Function -- 13.3 Some Counting Functions and a Few Technical Lemmas -- 14
Applications that Depend on Conformal Mapping -- 14.1 Conformal Mapping -- 14.2 Application of Conformal Mapping to the Dirichlet Problem -- 14.3 Physical Examples Solved by Means of Conformal Mapping -- 14.4 Numerical Techniques of
Conformal Mapping -- Appendix to Chapter 14: A Pictorial Catalog of Conformal Maps -- 15 Transform Theory -- 15.0 Introductory Remarks -- 15.1 Fourier Series -- 15.2 The Fourier Transform -- 15.3 The Laplace Transform -- 15.4 The
z-Transform -- 16 Computer Packages for Studying Complex Variables -- 16.0 Introductory Remarks -- 16.1 The Software Packages -- Glossary of Terms from Complex Variable Theory and Analysis -- List of Notation -- Table of Laplace
Transforms -- A Guide to the Literature -- References
ISBN:9781461215882
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functions of complex variables , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1999-9781461215660:ONLINE Show nearby items on shelf
Title:Complex Tori
Author(s): Christina Birkenhake
Date:1999
Size:1 online resource (255 p.)
Note:10.1007/978-1-4612-1566-0
Contents:1 Complex Tori -- 1 Homomorphisms of Complex Tori -- 2 Line Bundles -- 3 The Néron-Severi Group -- 4 The Dual Complex Torus -- 5 Extensions of Complex Tori -- 6 Complementary Subtori and Shafarevich Extensions -- 7 Simple and
Indecomposable Complex Tori -- 8 The Endomorphism Algebra of a Complex Torus -- 9 The Theorem of Oort and Zarhin -- 10 The Space of all Complex Tori of Dimension g -- 2 Nondegenerate Complex Tori -- 1 Polarizations of Index k -- 2
Moduli Spaces of Nondegenerate Complex Tori -- 3 The Rosati Involution -- 4 The Dual Polarization -- 5 Poincaré’s Reducibility Theorem for Nongenerate Complex Tori -- 6 The Algebraic Dimension -- 7 Picard Number and Algebraic Dimension
of Complex Tori of Dimension 2 -- 3 Embeddings into Projective Space -- 1 Kähler Theory of Line Bundles on Complex Tori -- 2 Harmonic Forms with Values in a Nondegenerate Line Bundle -- 3 Maps Associated to a Nondegenerate Line Bundle
-- 4 The Family of Abelian Varieties Associated to a Nondegenerate Complex Torus -- 5 Some Properties of the Diffeomeorphism ?v_: X ? Xv_ -- 6 The Rational C?-map ?L,V_: X ? ?N -- 4 Intermediate Jacobians -- 1 Primitive Cohomology of
Kähler Manifolds -- 2 The Griffiths Intermediate Jacobian -- 3 Some Properties of the Griffiths Intermediate Jacobian -- 4 The Weil Intermediate Jacobian -- 5 The Lazzeri Intermediate Jacobian -- 6 The Abelian Variety Associated to the
Griffiths Intermediate Jacobian -- 5 Families of Complex Tori -- 1 Complex Tori with Endomorphism Structure -- 2 The Index of a Complex Torus with Endomorphism Structure -- 3 Complex Tori with Endomorphism Structure of Type Ia -- 4
Complex Tori with Endomorphism Structure of Type Ib -- 5 Complex Tori with Endomorphism Structure of Type II -- 6 The Parameter Spaces of Complex Tori with Endomorphism Structure -- 1 The Space Hg,k -- 2 The Space Km -- 3 The Space
Lm,j -- 4 The Space Mm,k -- 5 The Space Nm,k -- 6 The Space Rm,j -- 7 The Space Sn -- 8 The Space Tn -- 9 The Space U(p,q),j -- 10 The Space Vp,q -- 7 Moduli Spaces -- 1 Moduli Problems -- 2 Homogeneous Spaces with Noncompact
Stabilizer -- 3 The Moduli Space of all Complex Tori -- 4 Moduli Spaces of Nondegenerate Complex Tori -- 5 Moduli Spaces of Nondegenerate Complex Tori with Endomorphism Structure -- A The Kronecker Product -- B Anti-Involutions on
R-Algebras -- C Complex Structures -- References -- Glossary of Notations
ISBN:9781461215660
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 177
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Differential geometry , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Algebraic Geometry , Differential Geometry
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Call number:SPRINGER-1998-9789401153027:ONLINE Show nearby items on shelf
Title:Elimination Methods in Polynomial Computer Algebra
Author(s): Valery Bykov
Date:1998
Size:1 online resource (244 p.)
Note:10.1007/978-94-011-5302-7
Contents:1. Basic Mathematical Facts -- 1. The logarithmic residue -- 2. The Newton recursion formulas -- 3. Localization theorems for the real zeros of a polynomial -- 4. The local residue (of Grothendieck) -- 5. The multidimensional
logarithmic residue -- 6. The classical scheme for elimination of unknowns -- 2. A Modified Elimination Method -- 7. A generalized transformation formula for local residues -- 8. A modified elimination method -- 9. A formula for the
logarithmic derivative of the resultant -- 10. Multidimensional analogues of the Newton formulas -- 11. Elimination of unknowns in different variables. Real roots -- 3. Applications in Mathematical Kinetics -- 12. Short schemes -- 13.
The search for all stationary solutions -- 14. The kinetic polynomial. Single-route mechanisms -- 15. Construction of the kinetic polynomial in the general case -- 4. Computer Realizations -- 16. Analytic manipulations on the computer
-- 17. Basic problems in computer algebra of polynomials -- 18. Realization of the elimination method -- 19. The construction of the resultant -- List of applications
ISBN:9789401153027
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 448
Keywords: Mathematics , Chemometrics , Numerical analysis , Computer science , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces , Math. Applications in Chemistry , Symbolic and Algebraic Manipulation , Numeric Computing
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Call number:SPRINGER-1998-9789401152068:ONLINE Show nearby items on shelf
Title:Convex and Starlike Mappings in Several Complex Variables
Author(s): Sheng Gong
Date:1998
Size:1 online resource (209 p.)
Note:10.1007/978-94-011-5206-8
Contents:I Criteria for starlikeness for holomorphic mappings -- II Criteria for convexity for holomorphic mappings -- III The growth theorem for holomorphic starlike mappings -- IV The growth theorem for holomorphic convex mappings -- V The
distortion theorem for the linearinvariant family -- VI The distortion theorem for holomorphic convex and starlike mappings -- VII The geometrical properties for holomorphic convex mappings on the unit ball -- References -- List of
symbols
ISBN:9789401152068
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 435
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Functions of complex variables , Convex geometry , Discrete geometry , Differential geometry , Mathematics , Several Complex Variables and Analytic Spaces , Functions of a Complex Variable , Differential Geometry , Convex and Discrete Geometry , Non-associative Rings and Algebras
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Call number:SPRINGER-1998-9783662035825:ONLINE Show nearby items on shelf
Title:Hyperbolic Complex Spaces
Author(s): Shoshichi Kobayashi
Date:1998
Size:1 online resource (474 p.)
Note:10.1007/978-3-662-03582-5
Contents:1. Distance Geometry -- 2. Schwarz Lemma and Negative Curvature -- 3. Intrinsic Distances -- 4. Intrinsic Distances for Domains -- 5. Holomorphic Maps into Hyperbolic Spaces -- 6. Extension and Finiteness Theorems -- 7. Manifolds of
General Type -- 8. Value Distributions -- References
ISBN:9783662035825
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 318
Keywords: Mathematics , Functions of complex variables , Differential geometry , Mathematics , Differential Geometry , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1998-9781461223108:ONLINE Show nearby items on shelf
Title:Fatou Type Theorems Maximal Functions and Approach Regions
Author(s): Fausto Di Biase
Date:1998
Size:1 online resource (154 p.)
Note:10.1007/978-1-4612-2310-8
Contents:I Background -- 1 Prelude -- 2 Preliminary Results -- 3 The Geometric Contexts -- II Exotic Approach Regions -- 4 Approach Regions for Trees -- 5 Embedded Trees -- 6 Applications -- Notes -- List of Figures -- Guide to Notation
ISBN:9781461223108
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 147
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Mathematics , Functions of a Complex Variable , Analysis , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1998-9781461220022:ONLINE Show nearby items on shelf
Title:Computational Conformal Mapping
Author(s): Prem K Kythe
Date:1998
Size:1 online resource (462 p.)
Note:10.1007/978-1-4612-2002-2
Contents:0. Introduction -- 1. Basic Concepts -- 2. Conformal Mappings -- 3. Schwarz—Christoffel Integrals -- 4. Polynomial Approximations -- 5. Nearly Circular Regions -- 6. Green’s Functions -- 7. Integral Equation Methods -- 8. Theodorsen’s
Integral Equation -- 9. Symm’s Integral Equation -- 10. Airfoils -- 11. Doubly Connected Regions -- 12. Singularities -- 13. Multiply Connected Regions -- 14. Grid Generation -- Appendix A. Cauchy P. V. Integrals -- A.1. Numerical
Evaluation -- Appendix B. Green’s Identities -- Appendix C. Riemann—Hilbert Problem -- C.1. Homogeneous Hilbert Problem -- C.2. Nonhomogeneous Hilbert Problem -- C.3. Riemann—Hilbert Problem -- Appendix D. Successive Approximations --
D.1. Tables -- Appendix E. Catalog of Conformal Mappings -- Bibliography 431 Notation
ISBN:9781461220022
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functions of complex variables , Computer mathematics , Mathematics , Several Complex Variables and Analytic Spaces , Computational Mathematics and Numerical Analysis , Functions of a Complex Variable
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Call number:SPRINGER-1998-9780817649197:ONLINE Show nearby items on shelf
Title:Complex Analysis Fundamentals of the Classical Theory of Functions
Author(s): John Stalker
Date:1998
Size:1 online resource (228 p.)
Note:10.1007/978-0-8176-4919-7
Contents:Preface. Outline. 1. Special Functions. 1.1 The Gamma Function. 1.2 The Distribution of Primes I. 1.3 Stirling's Series. 1.4 The Beta Integral. 1.5 The Whittaker Function. 1.6 The Hypergeometric Function. 1.7 Euler-MacLaurin
Summation. 1.8 The Zeta Function. 1.9 The Distribution of Primes II -- 2 Analytic Functions. 2.1 Contour Integration. 2.2 Analytic Functions. 2.3 The Cauchy Integral Formula. 2.4 Power Series and Rigidity. 2.5 The Distribution of
Primes III. 2.6 Meromorphic Functions. 2.7 Bernoulli Polynomials Revisited. 2.8 Mellin-Barnes Integrals I. 2.9 Mellin-Barnes Integrals II -- 3 Elliptic and Modular Functions. 3.1 Theta Functions. 3.2 Eisenstein Series. 3.3 Lattices.
3.4 Elliptic Functions. 3.5 Complex Multiplication. 3.6 Quadratic Reciprocity. 3.7 Biquadratic Reciprocity -- A Quick Review of Real Analysis -- Bibliography. Index
ISBN:9780817649197
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functions of complex variables , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1997-9789401589390:ONLINE Show nearby items on shelf
Title:The Riemann Legacy Riemannian Ideas in Mathematics and Physics
Author(s): Krzysztof Maurin
Date:1997
Size:1 online resource (719 p.)
Note:10.1007/978-94-015-8939-0
Contents:I Riemannian Ideas in Mathematics and Physics -- 1 Gauss Inner Curvature of Surfaces -- 2 Sectional Curvature. Spaces of Constant Curvature. Weyl Hypothesis -- 3 Cohomology of Riemann spaces. Theorems of de Rham, Hodge, Kodaira -- 4
Chern—Gauss—Bonnet theorem -- 5 Curvature and Topology or Characteristic Forms of Chern, Pontriagin, and Euler -- 6 Kähler Spaces. Bergman Metrics. Harish-Chandra-Cartan Theorem. Siegel Space (once again!) -- II General Structures of
Mathematics -- 1 Differentiable Structures. Tangent Spaces. Vector Fields -- 2 Projective (Inverse) Limits of Topological Spaces -- 3 Inductive Limits. Presheaves. Covering Defined by Presheaf -- 4 Algebras. Groups, Tensors, Clifford,
Grassmann, and Lie Algebras. Theorems of Bott—Milnor, Wedderburn, and Hurwitz -- 5 Fields and their Extensions -- 6 Galois Theory. Solvable Groups -- 7 Ruler and Compass Constructions. Cyclotomic Fields. Kronecker—Weber Theorem -- 8
Algebraic and Transcendental Elements -- 9 Weyl principle -- 10 Topology of Compact Lie Groups -- 11 Representations of Compact Lie Groups -- 12 Nilpotent, Semimple, and Solvable Lie Algebras -- 13 Reflections, Roots, and Weights.
Coxeter and Weyl groups -- 14 Covariant Differentiation. Parallel Transport. Connections -- 15 Remarks on Rich Mathematical Structures of Simple Notions of Physics Based on Example of Analytical Mechanics -- 16 Tangent Bundle TM.
Vector, Fiber, Tensor and Tensor Densities, and Associate Bundles -- 17 G-spaces. Group Representations -- 18 Principal and Associated Bundles -- 19 Induced Representations and Associated Bundles -- 20 Vector Bundles and Locally Free
Sheaves -- 21 Axiom of Covering Homotopy -- 22 Serre Fibering. General Theory of Connection. Corollaries -- 23 Homology. Cohomology. de Rham Cohomology -- 24 Cohomology of Sheaves. Abstract de Rham Theorem -- 25 Homotopy Group ?k(X,
x0). Hopf Fibering. Serre Theorem on Exact Sequence of Homotopy Groups of a Fibering -- 26 Various Benefits of Characteristic Classes (Orientability, Spin Structures). Clifford Groups, Spin Group -- 27 Divisors and Line Bundles.
Algebraic and Abelian Varieties -- 28 General Abelian Varieties and Theta Function -- 29 Theorems on Algebraic Dependence -- III The Idea of the Riemann Surface -- IV Riemann and Calculus of Variations -- 1 Introduction -- 2 The
Plateau Problem -- 3 Teichmüller Theory. Riemann Moduli Problem -- 4 Riemannian Approach to Teichmiiller Theory. Harmonic Maps and Teichmüller Space -- 5 Teichmüller theory and Plateau—Douglas problem -- 6 Rescuing Riemann’s Dirichlet
Principle. Potential Theory -- 7 The Royal Road to Calculus of Variations (Constantin Carathéodory) -- 8 Symplectic and Contact Geometries. Conservation Laws -- 9 Direct Methods in Calculus of Variations for Manifolds with Isometries.
Equivariant Sobolev Theorems. Yamabe Problem and its Relation to General Relativity -- V Riemann and Complex Geometry -- 1 Introduction -- 2 On Complex Analysis in Several Variables -- 3 Ellipticity, Runge Property, and Runge Type
Theorems -- 4 Hörmander Method in Complex Analysis -- 5 Wirtinger Theorems. Metric Theory of Analytic Sets -- 6 The Problem of Poincaré and the Cousin Problems -- 7 Ringed Spaces and General Complex Spaces -- 8 Construction of Complex
Spaces by Gluing and by Taking Quotient -- 9 Differential Geometry of Holomorphic Vector Bundles over Compact Riemann Surfaces and Kähler manifolds. Stable Vector Bundles, Hermite-Einstein Connections, and their Moduli Spaces -- VI
Riemann and Number Theory -- 1 Introduction -- 2 The Riemann ? function -- 3 Hecke Theory -- 4 Dedekind ?K function for number field K and Selberg ? function -- Concluding Remarks -- Suggestions for Further Reading
ISBN:9789401589390
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 417
Keywords: Mathematics , Algebra , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Geometry , Mathematics , Applications of Mathematics , Algebra , Geometry , Analysis
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Call number:SPRINGER-1997-9789401588041:ONLINE Show nearby items on shelf
Title:The Analysis of Solutions of Elliptic Equations
Author(s): Nikolai N Tarkhanov
Date:1997
Size:1 online resource (484 p.)
Note:10.1007/978-94-015-8804-1
Contents:List of Main Notations -- 1 Removable Singularities -- 2 Laurent Series -- 3 Representation of Solutions with Non-Discrete Singularities -- 4 Uniform Approximation -- 6 BMO Approximation -- 7 Conditional Stability -- 8 The Cauchy
Problem -- 9 Quasiconformality -- Name Index -- Index of Notation
ISBN:9789401588041
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 406
Keywords: Mathematics , Approximation theory , Functional analysis , Partial differential equations , Potential theory (Mathematics) , Functions of complex variables , Mathematics , Partial Differential Equations , Approximations and Expansions , Several Complex Variables and Analytic Spaces , Potential Theory , Functional Analysis
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Call number:SPRINGER-1996-9783540496328:ONLINE Show nearby items on shelf
Title:Transcendental Methods in Algebraic Geometry Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Cetraro, Italy, July 4–12, 1994
Author(s): Jean-Pierre Demailly
Date:1996
Size:1 online resource (264 p.)
Note:10.1007/BFb0094301
Contents:L 2 vanishing theorems for positive line bundles and adjunction theory -- Manifolds of semi-positive curvature -- Kähler-Einstein metrics on algebraic manifolds -- Six lectures on four manifolds
ISBN:9783540496328
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1646
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Differential geometry , Manifolds (Mathematics) , Complex manifolds , Mathematics , Algebraic Geometry , Several Complex Variables and Analytic Spaces , Differential Geometry , Manifolds and Cell Complexes (incl. Diff.Topology)
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Call number:SPRINGER-1996-9781461240846:ONLINE Show nearby items on shelf
Title:Geometry of Harmonic Maps
Author(s): Yuanlong Xin
Date:1996
Size:1 online resource (246 p.)
Note:10.1007/978-1-4612-4084-6
Contents:I. Introduction -- 1.1 Vector Bundles -- 1.2 Harmonic Maps -- 1.3 A Bochner Type Formula -- 1.4 Basic Properties of Harmonic Maps -- II. Conservation Law -- 2.1 Stress-Energy Tensor and Conservation Law -- 2.2 Monotonicity Formula --
2.3 Applications of Conservation Law to Liouville type Theorems -- 2.4 Further Generalizations -- III. Harmonic Maps and Gauss Maps -- 3.1 Generalized Gauss Maps -- 3.2 Cone-like Harmonic Maps -- 3.3 Generalized Maximum Principle --
3.4 Estimates of Image Diameter and its Applications -- 3.5 Gauss Image of a Space-Like Hypersurface in Minkowski Space -- 3.6 Gauss Image of a Space-Like Submanifold in Pseudo-Euclidean Space -- IV. Harmonic Maps and Holomorphic Maps
-- 4.1 Partial Energies -- 4.2 Harmonicity of Holomorphic Maps -- 4.3 Holomorphicity of Harmonic Maps -- V. Existence, Nonexistence and Regularity -- 5.1 Direct Method of the Calculus of Variations -- 5.2 Regularity Theorems -- 5.3
Nonexistence and Existence -- 5.4 Regularity Results of Harmonic Maps into Positively Curved Manifolds -- VI. Equivariant Harmonic Maps -- 6.1 Riemannian Submersions and Equivariant Harmonic Maps -- 6.2 Reduction Theorems -- 6.3
Equivariant Variational Formulas -- 6.4 On Harmonic Representatives of ?m(Sm) -- 6.5 Harmonic Maps via Isoparametric Maps -- 6.6 Harmonic Maps of Projective Spaces -- 6.7 Equivariant Boundary Value Problems -- References
ISBN:9781461240846
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Nonlinear Differential Equations and Their Applications : 23
Keywords: Mathematics , Partial differential equations , Functions of complex variables , Differential geometry , Probabilities , Physics , Continuum mechanics , Mathematics , Differential Geometry , Probability Theory and Stochastic Processes , Partial Differential Equations , Several Complex Variables and Analytic Spaces , Mathematical Methods in Physics , Continuum Mechanics and Mechanics of Materials
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Call number:SPRINGER-1995-9789401103756:ONLINE Show nearby items on shelf
Title:Banach Space Complexes
Author(s):
Date:1995
Size:1 online resource (213 p.)
Note:10.1007/978-94-011-0375-6
Contents:I Preliminaries -- II Semi-Fredholm complexes -- III Related topics -- Notations
ISBN:9789401103756
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 334
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Functions of complex variables , Mathematics , Operator Theory , Functional Analysis , Integral Transforms, Operational Calculus , Partial Differential Equations , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1995-9789401103275:ONLINE Show nearby items on shelf
Title:Complexes of Differential Operators
Author(s): Nikolai N Tarkhanov
Date:1995
Size:1 online resource (396 p.)
Note:10.1007/978-94-011-0327-5
Contents:0.0.1 Timeliness -- 0.0.2 Directions -- 0.0.3 Purpose -- 0.0.4 Methods -- 0.0.5 Approach -- 0.0.6 Results -- 0.0.7 Authorship -- List of Main Notations -- 1 Resolution of Differential Operators -- 1.1 Differential Complexes and Their
Cohomology -- 1.2 The Hilbert Resolution of a Differential Operator with Constant Coefficients -- 1.3 The Spencer Resolution of a Formally Integrable Differential Operator -- 1.4 Tensor products of differential complexes and Künneth’s
formula -- 1.5 Cochain mappings of differential complexes -- 2 Parametrices and Fundamental Solutions of Differential Complexes -- 2.1 Parametrices of Differential Complexes -- 2.2 Hodge Theory for Elliptic Complexes on Compact
Manifolds -- 2.3 Fundamental Solutions of Differential Complexes -- 2.4 Green Operators for Differential Operators and the Homotopy Formula on Manifolds with Boundary -- 2.5 The Most Immediate Corollaries and Examples -- 3
Sokhotskii-Plemelj Formulas for Elliptic Complexes -- 3.1 Formally Non-characteristic Hypersurfaces for Differential Complexes. The Tangential Complex -- 3.2 Sokhotskii-Plemelj Formulas for Elliptic Complexes of First Order
Differential Operators -- 3.3 Generalization of the Sokhotskii-Plemelj Formulas to the Case of Arbitrary Elliptic Complexes -- 3.4 Integral Formulas for Elliptic Complexes. Morera’s Theorem -- 3.5 Multiplication of Currents via Their
Harmonic Representations -- 4 Boundary Problems for Differential Complexes -- 4.1 The Neumann-Spencer Problem -- 4.2 The L2-Cohomologies of Differential Complexes and the Bergman Projector -- 4.3 The Mayer-Vietoris sequence -- 4.4 The
Cauchy problem for cohomology classes of differential complexes -- 4.5 The Kernel Approach to Solving the Equation Pu = f -- 5 Duality Theory for Cohomologies of Differential Complexes -- 5.1 The Poincaré Duality and the
Alexander-Pontryagin Duality -- 5.2 The Weil Homomorphism -- 5.3 Integral Formulas Connected by the Weil Homomorphism -- 5.4 Grothendieck’s Theorem on Cohomology Classes Regular at Infinity -- 5.5 Grothendieck Duality for Elliptic
Complexes -- 6 The Atiyah-Bott-Lefschetz Theorem on Fixed Points for Elliptic Complexes -- 6.1 The Argument Principle for Elliptic Complexes -- 6.2 An Integral Formula for the Lefschetz Number -- 6.3 The Atiyah-Bott Formula for Simple
Fixed Points -- 6.4 Isolated Components of the Set of Fixed Points -- 6.5 Some Examples for the Classical Complexes -- Name Index -- Index of Notation
ISBN:9789401103275
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 340
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Partial differential equations , Functions of complex variables , Mathematics , Global Analysis and Analysis on Manifolds , Partial Differential Equations , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1995-9789401101417:ONLINE Show nearby items on shelf
Title:Harmonic Analysis in China
Author(s):
Date:1995
Size:1 online resource (310 p.)
Note:10.1007/978-94-011-0141-7
Contents:On Lpestimates of the Cauchy-Riemann equations -- Recent progress in Hardy spaces on manifolds -- Calderon-Zygmund operator theory and function spaces -- Hptheory on compact Lie groups -- The unitary dual of the covering groups of
GL(n) over a local field -- Casimir Operator and Wavelet transform -- Oscillatory singular integrals with rough kernel -- The minimal decay of matrix coefficients for classical groups -- Application of harmonic analysis in geophysics
-- Bivariate box-spline wavelets -- On martingale spaces and inequalities -- Uniform weak (1,1) bounds for oscillatory singular integrals -- Paracommutators and Hankel operators -- Operators-derivatives-spaces-differential equations on
locally compact Vilenkin groups -- On selfsimilarity of functions -- Harmonic analysis on compact Lie groups and compact homogeneous spaces in China -- Harmonic analysis on bounded symmetric domains
ISBN:9789401101417
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 327
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Harmonic analysis , Fourier analysis , Integral transforms , Operational calculus , Operator theory , Functions of complex variables , Mathematics , Analysis , Abstract Harmonic Analysis , Operator Theory , Fourier Analysis , Integral Transforms, Operational Calculus , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1995-9783642797453:ONLINE Show nearby items on shelf
Title:Quasi-projective Moduli for Polarized Manifolds
Author(s): Eckart Viehweg
Date:1995
Size:1 online resource (320 p.)
Note:10.1007/978-3-642-79745-3
Contents:Leitfaden -- Classification Theory and Moduli Problems -- Notations and Conventions -- 1 Moduli Problems and Hilbert Schemes -- 1.1 Moduli Functors and Moduli Schemes -- 1.2 Moduli of Manifolds: The Main Results -- 1.3 Properties of
Moduli Functors -- 1.4 Moduli Functors for ?-Gorenstein Schemes -- 1.5 A. Grothendieck’s Construction of Hilbert Schemes -- 1.6 Hilbert Schemes of Canonically Polarized Schemes -- 1.7 Hilbert Schemes of Polarized Schemes -- 2 Weakly
Positive Sheaves and Vanishing Theorems -- 2.1 Coverings -- 2.2 Numerically Effective Sheaves -- 2.3 Weakly Positive Sheaves -- 2.4 Vanishing Theorems and Base Change -- 2.5 Examples of Weakly Positive Sheaves -- 3 D. Mumford’s
Geometric Invariant Theory -- 3.1 Group Actions and Quotients -- 3.2 Linearizations -- 3.3 Stable Points -- 3.4 Properties of Stable Points -- 3.5 Quotients, without Stability Criteria -- 4 Stability and Ampleness Criteria -- 4.1
Compactifications and the Hilbert-Mumford Criterion -- 4.2 Weak Positivity of Line Bundles and Stability -- 4.3 Weak Positivity of Vector Bundles and Stability -- 4.4 Ampleness Criteria -- 5 Auxiliary Results on Locally Free Sheaves
and Divisors -- 5.1 O. Gabber’s Extension Theorem -- 5.2 The Construction of Coverings -- 5.3 Singularities of Divisors -- 5.4 Singularities of Divisors in Flat Families -- 5.5 Vanishing Theorems and Base Change, Revisited -- 6 Weak
Positivity of Direct Images of Sheaves -- 6.1 Variation of Hodge Structures -- 6.2 Weakly Semistable Reduction -- 6.3 Applications of the Extension Theorem -- 6.4 Powers of Dualizing Sheaves -- 6.5 Polarizations, Twisted by Powers of
Dualizing Sheaves -- 7 Geometric Invariant Theory on Hilbert Schemes -- 7.1 Group Actions on Hilbert Schemes -- 7.2 Geometric Quotients and Moduli Schemes -- 7.3 Methods to Construct Quasi-Projective Moduli Schemes -- 7.4 Conditions
for the Existence of Moduli Schemes: Case (CP) -- 7.5 Conditions for the Existence of Moduli Schemes: Case (DP) -- 7.6 Numerical Equivalence -- 8 Allowing Certain Singularities -- 8.1 Canonical and Log-Terminal Singularities -- 8.2
Singularities of Divisors -- 8.3 Deformations of Canonical and Log-Terminal Singularities -- 8.4 Base Change and Positivity -- 8.5 Moduli of Canonically Polarized Varieties -- 8.6 Moduli of Polarized Varieties -- 8.7 Towards Moduli of
Canonically Polarized Schemes -- 9 Moduli as Algebraic Spaces -- 9.1 Algebraic Spaces -- 9.2 Quotients by Equivalence Relations -- 9.3 Quotients in the Category of Algebraic Spaces -- 9.4 Construction of Algebraic Moduli Spaces -- 9.5
Ample Line Bundles on Algebraic Moduli Spaces -- 9.6 Proper Algebraic Moduli Spaces for Curves and Surfaces -- References -- Glossary of Notations
ISBN:9783642797453
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics: 30
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Mathematics , Algebraic Geometry , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1995-9783540455219:ONLINE Show nearby items on shelf
Title:Lê Cycles and Hypersurface Singularities
Author(s): David B Massey
Date:1995
Size:1 online resource (136 p.)
Note:10.1007/BFb0094409
Contents:Definitions and basic properties -- Elementary examples -- A handle decomposition of the milnor fibre -- Generalized Lê-Iomdine formulas -- Lê numbers and hyperplane arrangements -- Thom’s a f condition -- Aligned singularities --
Suspending singularities -- Constancy of the Milnor fibrations -- Other characterizations of the Lê cycles
ISBN:9783540455219
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1615
Keywords: Mathematics , Functions of complex variables , Algebraic topology , Mathematics , Several Complex Variables and Analytic Spaces , Algebraic Topology
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Call number:SPRINGER-1994-9789401712590:ONLINE Show nearby items on shelf
Title:Differential Equations on Complex Manifolds
Author(s): Boris Sternin
Date:1994
Size:1 online resource (508 p.)
Note:10.1007/978-94-017-1259-0
Contents:1 Some Questions of Analysis and Geometry of Complex Manifolds -- 2 Symplectic and Contact Structures -- 3 Integral Transformations of Ramified Analytic Functions -- 4 Laplace-Radon Integral Operators -- 5 Cauchy Problem in Spaces of
Ramified Functions -- 6 Continuation of Solutions to Elliptic Equations
ISBN:9789401712590
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 276
Keywords: Mathematics , Integral transforms , Operational calculus , Partial differential equations , Functions of complex variables , Mathematics , Partial Differential Equations , Several Complex Variables and Analytic Spaces , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1994-9789401118965:ONLINE Show nearby items on shelf
Title:Deformations of Mathematical Structures II Hurwitz-Type Structures and Applications to Surface Physics. Selected Papers from the Seminar on Deformations, Łódź-Malinka, 1988/92
Author(s):
Date:1994
Size:1 online resource (464 p.)
Note:10.1007/978-94-011-1896-5
Contents:I. Hurwitz-Type Structures -- General Theory -- Editors’ note -- Composition of sums of squares with integer coefficients -- Hurwitz-Type Structures Equipped With Additional Geometric and Analytic Structures -- Helmholtz operator with
a quaternionic wave number and the associated function theory -- Clifford algebra derivation of the characteristic hypersurfaces of Maxwell’s equations -- Hermitian Hurwitz pairs -- Operator realizations of quantum Heisenberg-Weyl and
SU(2)q algebras -- Some generalizations of the Jacobi identity with application to the curvature- and torsion-dependent hamiltonians of physical systems -- Special Hurwitz-Type Structures and the Many-Particle Problem -- On dualities
generated by the generalised Hurwitz problem -- The duality theorem for the Hurwitz pairs of bidimension (8,5) and the Penrose theory -- Stochastical mechanics of particle systems in Clifford-analytical formulation related to Hurwitz
pairs of bidimension (8,5) -- II. Surface Physics Structures -- Boundary Conditions: Broken Symmetry and Surafce Decorations -- Statistical mechanics of a crystal surface -- A Hurwitz-pair approach to the pre-melting problem -- On the
existence conditions for surface states in tight-binding thin films -- Spin wave resonance profiles -- Deformation of physical and chemical properties of solids caused by the existence of a solid surface -- Spin polarization transport
in thin magnetic film -- Nonlinear Solutions and Dynamical Properties: A Near-Surface Region -- Quasilinear quantum field theory (a program of quantization) -- A study on torsion vibrations in linear chains -- Etude monodimensionnelle
d’sune barre vibrante avec contants unilateraux -- A generalization of the Landau-Lifschitz equation including non-magnetic phenomena -- Chaotic domain wall dynamics and coherent spatial structures in a magnetic system with surfaces
ISBN:9789401118965
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Quantum physics , Condensed matter , Materials , Thin films , Mathematics , Algebraic Geometry , Several Complex Variables and Analytic Spaces , Surfaces and Interfaces, Thin Films , Condensed Matter Physics , Quantum Physics
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Call number:SPRINGER-1994-9789401109345:ONLINE Show nearby items on shelf
Title:Complex Potential Theory
Author(s):
Date:1994
Size:1 online resource (552 p.)
Note:10.1007/978-94-011-0934-5
Contents:Analytic multifunctions and their applications -- Harmonic approximation on closed subsets of Riemannian manifolds -- Pick interpolation, Von Neumann inequalities, and hyperconvex sets -- Complex dynamics in higher dimensions --
Analytic functions on Banach spaces -- Uniform approximation -- Plurisubharmonic functions and their singularities -- Chebyshev-type quadratures: use of complex analysis and potential theory -- General aspects of potential theory with
respect to problems of differential equations -- Removability, capacity and approximation -- Semigroups of holomorphic isometries
ISBN:9789401109345
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 439
Keywords: Mathematics , Functional analysis , Functions of complex variables , Potential theory (Mathematics) , Mathematics , Several Complex Variables and Analytic Spaces , Potential Theory , Functions of a Complex Variable , Functional Analysis
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Call number:SPRINGER-1994-9783662098738:ONLINE Show nearby items on shelf
Title:Several Complex Variables VII Sheaf-Theoretical Methods in Complex Analysis
Author(s):
Date:1994
Size:1 online resource (372 p.)
Note:10.1007/978-3-662-09873-8
Contents:I. Local Theory of Complex Spaces -- II. Differential Calculus, Holomorphic Maps and Linear Structures on Complex Spaces -- III. Cohomology -- IV. Seminormal Complex Spaces -- V. Pseudoconvexity, the Levi Problem and Vanishing
Theorems -- VI. Theory of q-Convexity and q-Concavity -- VII. Modifications -- VIII. Cycle Spaces -- IX. Extension of Analytic Objects -- Author Index
ISBN:9783662098738
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Encyclopaedia of Mathematical Sciences: 74
Keywords: Mathematics , Algebraic geometry , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Differential geometry , Physics , Mathematics , Functions of a Complex Variable , Analysis , Algebraic Geometry , Differential Geometry , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1994-9781468400298:ONLINE Show nearby items on shelf
Title:Asymptotic Analysis A Distributional Approach
Author(s): Ricardo Estrada
Date:1994
Size:1 online resource (258 p.)
Note:10.1007/978-1-4684-0029-8
Contents:1 Basic Results in Asymptotics -- 1.1 Introduction -- 1.2 Order Symbols -- 1.3 Asymptotic Series -- 1.4 Algebraic and Analytic Operations -- 1.5 Existence of Functions with a Given Asymptotic Expansion -- 1.6 Asymptotic Power Series
in a Complex Variable -- 1.7 Asymptotic Approximation of Partial Sums -- 1.8 The Euler-Maclaurin Summation Formula -- 2 Introduction to the Theory of Distributions -- 2.1 Introduction -- 2.2 The Space of Distributions $$\mathcal{D}'$$
-- 2.3 Algebraic and Analytic Operations -- 2.4 Regularization, Pseudofunction and Hadamard Finite Part -- 2.5 Support and Order -- 2.6 Homogeneous Distributions -- 2.7 Distributional Derivatives of Discontinuous Functions -- 2.8
Tempered Distributions and the Fourier Transform -- 2.9 Distributions of Rapid Decay -- 2.10 Spaces of Distributions Associated with an Asymptotic Sequence -- 3 A Distributional Theory of Asymptotic Expansions -- 3.1 Introduction --
3.2 The Taylor Expansion of Distributions -- 3.3 The Moment Asymptotic Expansion -- 3.4 Expansions in the Space $$\mathcal{P}'$$ -- 3.5 Laplace’s Asymptotic Formula -- 3.6 The Method of Steepest Descent -- 3.7 Expansion of Oscillatory
Kernels -- 3.8 The Expansion of f(?x) as ? —> ? in Other Cases -- 3.9 Asymptotic Separation of Variables -- 4 The Asymptotic Expansion of Multidimensional Generalized Functions -- 4.1 Introduction -- 4.2 Taylor Expansion in Several
Variables -- 4.3 The Multidimensional Moment Asymptotic Expansion -- 4.4 Laplace’s Formula -- 4.5 Fourier Type Integrals -- 4.6 Further Examples -- 4.7 Tensor Products and Partial Asymptotic Expansions -- 4.8 An Application in Quantum
Mechanics -- 5 The Asymptotic Expansion of Certain Series Considered by Ramanujan -- 5.1 Introduction -- 5.2 Basic Formulas -- 5.3 Lambert Type Series -- 5.4 Distributionally Small Sequences -- 5.5 Multiple Series -- 6 Series of Dirac
Delta Functions -- 6.1 Introduction -- 6.2 Basic Notions -- 6.3 Several Problems That Lead to Series of Deltas -- 6.4 Dual Taylor Series as Asymptotics of Solutions of Differential Equations -- 6.5 Singular Perturbations -- References
ISBN:9781468400298
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Probabilities , Mathematics , Approximations and Expansions , Probability Theory and Stochastic Processes
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Call number:SPRINGER-1994-9780817645854:ONLINE Show nearby items on shelf
Title:Notions of Convexity
Author(s): Lars Hörmander
Date:1994
Size:1 online resource (416 p.)
Note:10.1007/978-0-8176-4585-4
Contents:Convex Functions of One Variable -- Convexity in a Finite-Dimensional Vector Space -- Subharmonic Functions -- Plurisubharmonic Functions -- Convexity with Respect to a Linear Group -- Convexity with Respect to Differential Operators
-- Convexity and Condition (.?)
ISBN:9780817645854
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Partial differential equations , Potential theory (Mathematics) , Functions of real variables , Functions of complex variables , Convex geometry , Discrete geometry , Mathematics , Several Complex Variables and Analytic Spaces , Convex and Discrete Geometry , Real Functions , Potential Theory , Analysis , Partial Differential Equations
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Call number:SPRINGER-1992-9789401124188:ONLINE Show nearby items on shelf
Title:Functions of Completely Regular Growth
Author(s): L. I Ronkin
Date:1992
Size:1 online resource (392 p.)
Note:10.1007/978-94-011-2418-8
Contents:1. Entire functions of completely regular growth of one variable -- §1. Preliminaries -- §2. Regularity of growth, D’-convergence and right distribution of zeros -- §3. Rays of completely regular growth. Addition of indicators --
Notes -- 2. Subharmonic functions of completely regular growth in Rn -- §1. General information on subharmonic functions. D*-convergence . -- §2. Criteria for regularity of growth in Rn -- §3. Rays of completely regular growth and
limit sets -- §4. Addition of indicators -- Notes -- 3. Entire functions of completely regular growth in Cn -- §1. Functions of c completely regular growth on complex rays -- §2. Addition of indicators -- §3. Entire functions with
prescribed behaviour at infinity -- Notes -- 4. Functions of completely regular growth in the half-plane or a cone -- §1. Preliminary information on functions holomorphic in a half-plane -- §2. Functions of completely regular growth in
C+ -- §3. Functions of completely regular growth in C+ -- §4. Functions of completely regular growth in a cone -- Notes -- 5. Functions of exponential type and bounded on the real space (Fourier transforms of distribution of compact
support) -- §1. Regularity of growth of entire functions of exponential type and bounded on the real space -- §2. Discrete uniqueness sets -- §3. Norming sets -- Notes -- 6. Quasipolynomials -- §1. M-quasipolynomials. Growth and zero
distribution -- §2. Entire functions that are quasipolynomials in every variable -- §3. Factors of quasipolynomials -- Notes -- 7. Mappings -- §1. Information on the general theory of holomorphic mappings -- §2. Plurisubharmonic
functions of ?-regular growth and asymptotic behaviour of order functions of holomorphic mappings -- §3. Jessen’s theorem for almost periodic holomorphic mappings -- Notes
ISBN:9789401124188
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 81
Keywords: Mathematics , Functions of complex variables , Potential theory (Mathematics) , Applied mathematics , Engineering mathematics , Mathematics , Functions of a Complex Variable , Potential Theory , Several Complex Variables and Analytic Spaces , Applications of Mathematics
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Call number:SPRINGER-1992-9783662027721:ONLINE Show nearby items on shelf
Title:Arrangements of Hyperplanes
Author(s): Peter Orlik
Date:1992
Size:1 online resource (325 p.)
Note:10.1007/978-3-662-02772-1
Contents:1. Introduction -- 2. Combinatorics -- 3. Algebras -- 4. Free Arrangements -- 5. Topology -- 6. Reflection Arrangements -- A. Some Commutative Algebra -- B. Basic Derivations -- C. Orbit Types -- D. Three-Dimensional Restrictions --
References -- Index of Symbols
ISBN:9783662027721
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 300
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Algebraic topology , Manifolds (Mathematics) , Complex manifolds , Mathematics , Algebraic Topology , Algebraic Geometry , Manifolds and Cell Complexes (incl. Diff.Topology) , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1991-9789401132084:ONLINE Show nearby items on shelf
Title:Analytic Pseudo-Differential Operators and their Applications
Author(s): Julii A Dubinskii
Date:1991
Size:1 online resource (252 p.)
Note:10.1007/978-94-011-3208-4
Contents:I. PD-Operators with Complex Arguments -- 1. PD-Operators with Constant Analytic Symbols -- 2. Fourier Transformation of Arbitrary Analytic Functions. Complex Fourier Method -- 3. PD-Equations whose Symbols are Formal Series -- II.
The Cauchy Problem in the Complex Domain -- 4. Cauchy-Kovalevskaya Theory in Spaces of Analytic Functions with Pole-type Singularities -- 5. Exponential theory of the Cauchy problem -- 6. PD-Operators with Variable Analytic Symbols --
III. PD-Operators with Real Arguments -- 7. Spaces of Test Functions and Distributions -- 8. Analytic PD-operators with Real Arguments. Applications -- References -- Author Index -- Index of Basic Formulae
ISBN:9789401132084
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications Soviet Series: 68
Keywords: Mathematics , Partial differential equations , Functions of complex variables , Quantum physics , Mathematics , Partial Differential Equations , Several Complex Variables and Analytic Spaces , Quantum Physics
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Call number:SPRINGER-1991-9783322868565:ONLINE Show nearby items on shelf
Title:Complex Analysis Proceedings of the International Workshop Wuppertal 1990
Author(s):
Date:1991
Size:1 online resource (X, 341p p.)
Note:10.1007/978-3-322-86856-5
Contents:Smooth Proper Modifications of Compact Kähler Manifolds -- Lp-Estimates for ?? in C -- Canonical Resolutions in Sheaves on Schubert and Brieskorn Varieties -- La forme hermitienne canonique pour une singularité presque isolée -- A
Generalized Cousin Problem for Subvarieties of the Bidisk -- Scalar Curvature and Twistor Geometry -- Some Remarks on Weighted Estimates for ?? -- Circular Models and Normal Forms for Convex Domains -- Lp-Estimates with Loss for the
Bergman-Projection and the Canonical Solution to ?? -- Distortion Function and the Heat Kernel of a Positive Line Bundle -- Twistor Spaces and Non-hyperbolicity of Certain Symplectic Kähler Manifolds -- Envelopes of Holomorphy of
Domains in Cn -- Representing Measures in the Spectrum of H? (?) -- Estimées Ck, ? pour l’equation ?? = f dans les convexes -- Local Hyperconvexity and Local Hyperconcavity -- Domaines à estimation maximale -- Deformation of Compact
Rieman Surfaces with Distinguished Points -- Local Extension of Holomorphic L2-Functions with Weights -- On the Boundary Behavior of the Caratheodory and Kobayashi Distances in Strongly Pseudoconvex Domains in Cn -- Zur Klassifikation
der 1-konvexen komplexen Räume -- Holomorphic Mappings into Convex Domains -- On Second Order Hypoelliptic Differential Operators and the ??-Neumann Problem -- Equisingularity of Analytically Constructible Sets -- Fonction de Artin
d’un germe d’espace analytique -- Local Peaks Sets and Maximum Modulus Sets in Products of Strictly Pseudoconvex Domains -- Hyperbolic C* -Actions on Affine Surfaces -- On Complex Manifolds Exhausted by Biholomorphic Images of
Generalized Complex Ellipsoids E(n n1,@@@, ns p1,@@@, ps) -- The Hard Lefschetz Theorem for Concave and Convex Algebraic Manifolds -- Sur la résolution des équations de Cauchy-Riemann tangentielles pour les formes à support compact
dans les variétes -- Imbedding Pseudohermitian Manifolds into a Sphere -- Deformations of Strongly Pseudo-Convex CR Structures and Deformations of Normal Isolated Singularities -- The Behavior of Multiplier Ideal Sheaves under
Morphisms -- Local Geometry of Decoupled Pseudoconvex Domains -- A Vanishing Theorem on Kähler Manifolds with Certain Stratified Structures -- Hodge-Kohomologie und Steinsche Mannigfaltigkeiten -- The Cauchy-Riemann Equations in Convex
Domains -- Integral Kernels and Hölder Estimates for ?? on Pseudoconvex Domains of Finite Type on C2 -- Complex Analysis in the Golden Fifties -- On q-Convex Exhaustion Functions of Complements of CR-Submanifolds -- A Characterization
of Homogeneous Bounded Domains -- Singular Sets of Separately Analytic Functions -- Some Recent Results Related to the Uniformization Problem in Several Complex Variables -- Product Decomposition of Non-reduced Space Germs -- Modular
Subgerms and the Isomorphism Problem in Deformation Theory -- A New Method to Introduce a-priori Estimates for the ??-Neumann Problem -- Maximal and Semi-Maximal Estimates for ??b on Pseudoconvex Manifolds -- Degenerations of
Instantons -- Second Main Theorems in Number Theory and Nevanlinna Theory -- Symplectic Techniques in Holomorphic Group Actions
ISBN:9783322868565
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Aspects of Mathematics: 1
Keywords: Engineering , Engineering , Engineering, general
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Call number:SPRINGER-1989-9789400926431:ONLINE Show nearby items on shelf
Title:Deformations of Mathematical Structures Complex Analysis with Physical Applications
Author(s):
Date:1989
Size:1 online resource (352 p.)
Note:10.1007/978-94-009-2643-1
Contents:I. Proceedings of the Third Finnish-Polish Summer School in Complex Analysis -- (Quasi) Conformal Deformation -- Some elliptic operators in real and complex analysis -- Embedding of Sobolev spaces into Lipschitz spaces -- Quasiregular
mappings from ?n to closed orientable n-manifolds -- Some upper bounds for the spherical derivative -- On the connection between the Nevanlinna characteristics of an entire function and of its derivative -- Foliations -- Characteristic
homomorphism for transversely holomorphic foliations via the Cauchy-Riemann equations -- Complex premanifolds and foliations -- Geometric Algebra -- Mo?bius transformations and Clifford algebras of euclidean and anti-euclidean spaces
-- II. Complex Analytic Geometry -- Uniformization -- Doubles of atoroidal manifolds, their conformal uniformization and deformations -- Hyperbolic Riemann surfaces with the trivial group of automorphisms -- Algebraic Geometry -- On
the Hilbert scheme of curves in a smooth quadric -- A contribution to Keller’s Jacobian conjecture II -- Local properties of intersection multiplicity -- Generalized Padé approximants of Kakehashi’s type and meromorphic continuation of
functions -- Several Complex Variables -- Three remarks about the Caratheodory distance -- On the convexity of the Kobayashi indicatrix -- Boundary regularity of the solution of the ??-equation in the polydisc -- Holomorphic chains and
extendability of holomorphic mappings -- Remarks on the versal families of deformations of holomorphic and transversely holomorphic foliations -- Hurwitz Pairs -- Hurwitz pairs and octonions -- Hermitian pre-Hurwitz pairs and the
Minkowski space -- III. Real Analytic Geometry -- (Quasi) Conformal Deformation -- Morphisms of Klein surfaces and Stoilow’s topological theory of analytic functions -- Generalized gradients and asymptotics of the functional trace --
Holomorphic quasiconformal mappings in infinite-dimensional spaces -- Algebraic Geometry -- Product singularities and quotients of linear groups -- Approximation and extension of C? functions defined on compact subsets of ?n --
Potential Theory -- New existence theorems and evaluation formulas for analytic Feynman integrals -- On the construction of potential vectors and generalized potential vectors depending on time by a contraction principle -- Symbolic
calculus applied to convex functions and associated diffusions -- Lagrangian for the so-called non-potential system: the case of magnetic monopoles -- Hermitian Geometry -- Examples of deformations of almost hermitian structures
ISBN:9789400926431
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Mathematical analysis , Analysis (Mathematics) , Geometry , Physics , Mathematics , Analysis , Geometry , Theoretical, Mathematical and Computational Physics , Algebraic Geometry
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Call number:SPRINGER-1989-9789400924567:ONLINE Show nearby items on shelf
Title:Advances in the Theory of Fréchet Spaces
Author(s):
Date:1989
Size:1 online resource (364 p.)
Note:10.1007/978-94-009-2456-7
Contents:Approximation properties of nuclear Fréchet spaces -- Topics on projective spectra of (LB)-spaces -- Applications of the projective limit functor to convolution and partial differential equations -- Partial differential operators with
continuous linear right inverse -- Hartogs type extension theorem of real analytic solutions of linear partial differential equations with constant coefficients -- Remarks on the existence of solutions of partial differential equations
in Gevrey spaces -- Tame right inverses for partial differential equations -- Stein spaces M for which O(M) is isomorphic to a power series space -- Monomial expansions in infinite dimensional holomorphy -- Relations between ?0 and ??
on spaces of holomorphic functions -- Some recent results on VC(X) -- Projective descriptions of weighted inductive limits: The vector-valued cases -- On tensor product ?-algebra bundles -- Quojection and prequojections -- Nuclear
Köthe quotients of Fréchet spaces -- A note on strict LF-spaces -- Automatic continuity in Fréchet algebras -- Some special Köthe spaces -- On Pelczynski’s problem -- Some invariants of Fréchet spaces and imbeddings of smooth sequence
spaces -- On complemented subspaces of certain nuclear Köthe spaces -- Some new methods in the structure theory of nuclear Fréchet spaces -- Every quojection is the quotient of a countable product of Banach spaces -- Dual K?mura spaces
ISBN:9789400924567
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 287
Keywords: Mathematics , Operator theory , Partial differential equations , Functions of complex variables , Special functions , Mathematics , Special Functions , Operator Theory , Several Complex Variables and Analytic Spaces , Partial Differential Equations
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Call number:SPRINGER-1989-9789400923669:ONLINE Show nearby items on shelf
Title:Complex Analytic Sets
Author(s): E. M Chirka
Date:1989
Size:1 online resource (372 p.)
Note:10.1007/978-94-009-2366-9
Contents:1 Fundamentals of the theory of analytic sets -- 1. Zeros of holomorphic functions -- 2. Definition and simplest properties of analytic sets. Sets of codimension 1 -- 3. Proper projections -- 4. Analytic covers -- 5. Decomposition
into irreducible components and its consequences -- 6. One-dimensional analytic sets -- 7. Algebraic sets -- 2 Tangent cones and intersection theory -- 8. Tangent cones -- 9. Whitney cones -- 10. Multiplicities of holomorphic maps --
11. Multiplicities of analytic sets -- 12. Intersection indices -- 3 Metrical properties of analytic sets -- 13. The fundamental form and volume forms -- 14. Integration over analytic sets -- 15. Lelong numbers and estimates from below
-- 16. Holomorphic chains -- 17. Growth estimates of analytic sets -- 4 Analytic continuation and boundary properties -- 18. Removable singularities of analytic sets -- 19. Boundaries of analytic sets -- 20. Analytic continuation --
Appendix Elements of multi-dimensional complex analysis -- A1. Removable singularities of holomorphic functions -- A1.2. Plurisubharmonic functions -- A1.3. Holomorphic continuation along sections -- A1.4. Removable singularities of
bounded functions -- A1.5. Removable singularities of continuous functions -- A2.1. Holomorphic maps -- A2.2. The implicit function theorem and the rank theorem -- A3. Projective spaces and Grassmannians -- A3.1. Abstract complex
manifolds -- A3.5. Incidence manifolds and the ?-process -- A4. Complex differential forms -- A4.1. Exterior algebra -- A4.2. Differential forms -- A4.3. Integration of forms. Stokes’ theorem -- A4.4. Fubini’s theorem -- A4.5. Positive
forms -- A5. Currents -- A5.1. Definitions. Positive currents -- A5.3. Regularization -- A5.4. The ??-problem and the jump theorem -- A6. Hausdorff measures -- A6.1. Definition and simplest properties -- A6.3. The Lemma concerning
fibers -- A6.4. Sections and projections -- References -- References added in proof
ISBN:9789400923669
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 46
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces , Algebraic Geometry , Functions of a Complex Variable
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Call number:SPRINGER-1989-9781461389583:ONLINE Show nearby items on shelf
Title:Introduction to Calculus and Analysis Volume II
Author(s): Richard Courant
Date:1989
Size:1 online resource (954 p.)
Note:10.1007/978-1-4613-8958-3
Contents:1 Functions of Several Variables and Their Derivatives -- 1.1 Points and Points Sets in the Plane and in Space -- 1.2 Functions of Several Independent Variables -- 1.3 Continuity -- 1.4 The Partial Derivatives of a Function -- 1.5 The
Differential of a Function and Its Geometrical Meaning -- 1.6 Functions of Functions (Compound Functions) and the Introduction of New Independent Variables -- 1.7 The Mean Value Theorem and Taylor’s Theorem for Functions of Several
Variables -- 1.8 Integrals of a Function Depending on a Parameter -- 1.9 Differentials and Line Integrals -- 1.10 The Fundamental Theorem on Integrability of Linear Differential Forms -- A.1. The Principle of the Point of Accumulation
in Several Dimensions and Its Applications -- A.2. Basic Properties of Continuous Functions -- A.3. Basic Notions of the Theory of Point Sets -- A.4. Homogeneous functions -- 2 Vectors, Matrices, Linear Transformations -- 2.1
Operations with Vectors -- 2.2 Matrices and Linear Transformations -- 2.3 Determinants -- 2.4 Geometrical Interpretation of Determinants -- 2.5 Vector Notions in Analysis -- 3 Developments and Applications of the Differential Calculus
-- 3.1 Implicit Functions -- 3.2 Curves and Surfaces in Implicit Form -- 3.3 Systems of Functions, Transformations, and Mappings -- 3.4 Applications -- 3.5 Families of Curves, Families of Surfaces, and Their Envelopes -- 3.6
Alternating Differential Forms -- 3.7 Maxima and Minima -- A.1 Sufficient Conditions for Extreme Values -- A.2 Numbers of Critical Points Related to Indices of a Vector Field -- A.3 Singular Points of Plane Curves -- A.4 Singular
Points of Surfaces -- A.5 Connection Between Euler’s and Lagrange’s Representation of the motion of a Fluid -- A.6 Tangential Representation of a Closed Curve and the Isoperimetric Inequality -- 4 Multiple Integrals -- 4.1 Areas in the
Plane -- 4.2 Double Integrals -- 4.3 Integrals over Regions in three and more Dimensions -- 4.4 Space Differentiation. Mass and Density -- 4.5 Reduction of the Multiple Integral to Repeated Single Integrals -- 4.6 Transformation of
Multiple Integrals -- 4.7 Improper Multiple Integrals -- 4.8 Geometrical Applications -- 4.9 Physical Applications -- 4.10 Multiple Integrals in Curvilinear Coordinates -- 4.11 Volumes and Surface Areas in Any Number of Dimensions --
4.12 Improper Single Integrals as Functions of a Parameter -- 4.13 The Fourier Integral -- 4.14 The Eulerian Integrals (Gamma Function) -- Appendix: Detailed Analysis of the Process of Integration -- A.1 Area -- A.2 Integrals of
Functions of Several Variables -- A.3 Transformation of Areas and Integrals -- A.4 Note on the Definition of the Area of a Curved Surface -- 5 Relations Between Surface and Volume Integrals -- 5.1 Connection Between Line Integrals and
Double Integrals in the Plane (The Integral Theorems of Gauss, Stokes, and Green) -- 5.2 Vector Form of the Divergence Theorem. Stokes’s Theorem -- 5.3 Formula for Integration by Parts in Two Dimensions. Green’s Theorem -- 5.4 The
Divergence Theorem Applied to the Transformation of Double Integrals -- 5.5 Area Differentiation. Transformation of ?u to Polar Coordinates -- 5.6 Interpretation of the Formulae of Gauss and Stokes by Two-Dimensional Flows -- 5.7
Orientation of Surfaces -- 5.8 Integrals of Differential Forms and of Scalars over Surfaces -- 5.9 Gauss’s and Green’s Theorems in Space -- 5.10 Stokes’s Theorem in Space -- 5.11 Integral Identities in Higher Dimensions -- Appendix:
General Theory of Surfaces and of Surface Integals -- A.1 Surfaces and Surface Integrals in Three dimensions -- A.2 The Divergence Theorem -- A.3 Stokes’s Theorem -- A.4 Surfaces and Surface Integrals in Euclidean Spaces of Higher
Dimensions -- A.5 Integrals over Simple Surfaces, Gauss’s Divergence Theorem, and the General Stokes Formula in Higher Dimensions -- 6 Differential Equations -- 6.1 The Differential Equations for the Motion of a Particle in Three
Dimensions -- 6.2 The General Linear Differential Equation of the First Order -- 6.3 Linear Differential Equations of Higher Order -- 6.4 General Differential Equations of the First Order -- 6.5 Systems of Differential Equations and
Differential Equations of Higher Order -- 6.6 Integration by the Method of Undermined Coefficients -- 6.7 The Potential of Attracting Charges and Laplace’s Equation -- 6.8 Further Examples of Partial Differential Equations from
Mathematical Physics -- 7 Calculus of Variations -- 7.1 Functions and Their Extrema -- 7.2 Necessary conditions for Extreme Values of a Functional -- 7.3 Generalizations -- 7.4 Problems Involving Subsidiary Conditions. Lagrange
Multipliers -- 8 Functions of a Complex Variable -- 8.1 Complex Functions Represented by Power Series -- 8.2 Foundations of the General Theory of Functions of a Complex Variable -- 8.3 The Integration of Analytic Functions -- 8.4
Cauchy’s Formula and Its Applications -- 8.5 Applications to Complex Integration (Contour Integration) -- 8.6 Many-Valued Functions and Analytic Extension -- List of Biographical Dates
ISBN:9781461389583
Series:eBooks
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1989-9781461236962:ONLINE Show nearby items on shelf
Title:Enriques Surfaces I
Author(s): François R Cossec
Date:1989
Size:1 online resource (402 p.)
Note:10.1007/978-1-4612-3696-2
Contents:0. Preliminaries -- S1. Double covers -- S2. Rational double points -- S3. Del Pezzo surfaces -- S4. Symmetric quartic Del Pezzo surfaces -- S5. Symmetric cubic Del Pezzo surfaces -- S6. Prym canonical maps -- S7. The Picard scheme --
Bibliographical notes -- I. Enriques surfaces: generalities -- S1. Classification of algebraic surfaces -- S2. The Picard group -- S3. The K3-cover -- S4. Differential invariants -- S5. Riemann-Roch and a vanishing theorem -- S6.
Examples -- Bibliographical notes -- II. Lattices and root bases -- S1. Generalities -- S2. Root bases and their Weyl groups -- S3. Root bases of finite and affine type -- S4. Root bases of hyperbolic type -- S5. The Enriques lattice
-- S6. The Reye lattice -- S7. The function ?M -- S8. 2-congruence subgroups of finite Weyl groups -- S9. The factor group W/W(2) -- S10. The structure of W(2) -- Bibliographical notes -- Tables -- III. The geometry of the Enriques
lattice. -- S1. Divisors of canonical type -- S2. The nodal chamber -- S3. Canonical r-sequences and U[r]-markings -- S4. U-markings -- S5. U[3]-markings -- S6. Linear systems |C| with C2 ? 10 -- Bibliographical notes -- IV. Projective
models. -- S1. Preliminaries -- S2. Linear systems on K3-surfaces -- S3. Numerical connectedness -- S4. Base-points -- S5. Hyperelliptic maps -- S6. Birational maps -- S7. Superelliptic maps -- S8. The branch locus of superelliptic
maps -- S9. Projective models of degree ?10 -- S10. Applications to linear systems -- Appendix. A theorem of Igor Reider -- Bibliographical notes -- V. Genus 1 fibrations. -- S1. Genus 1 fibrations:generalities -- S2. The Picard group
-- S3. Jacobian fibrations -- S4. Ogg-Shafarevich theory -- S5. Weierstrass models -- S6. Genus 1 fibrations on rational surfaces -- S7. Genus 1 fibrations on Enriques surfaces -- Bibliographical notes -- Glossary of notations
ISBN:9781461236962
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 76
Keywords: Mathematics , Algebra , Algebraic geometry , Functions of complex variables , Mathematics , Algebraic Geometry , Algebra , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1988-9783540388418:ONLINE Show nearby items on shelf
Title:Function Spaces and Applications Proceedings of the US-Swedish Seminar held in Lund, Sweden, June 15–21, 1986
Author(s):
Date:1988
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource (448 p.)
Note:10.1007/BFb0078857
Contents:Marcel Riesz in Lund -- Interpolation of tent spaces and applications -- Toeplitz liftings of hankel forms -- Some recent developments in fourier analysis and HP theory on product domains — II -- A unified approach to atomic
decompositions via integrable group representations -- The work of coifman and semmes on complex interpolation, several complex variables, and PDE’s -- Interpolation of quasinormed spaces by the complex method -- New and old function
spaces -- A note on choquet integrals with respect to Hausdorff capacity -- Besov norms of rational functions -- Functions of bounded mean oscillation and Hausdorff-Young type theorems -- Remarks on local function spaces -- The classes
Va are monotone -- Hardy-Sobolev spaces and Besov spaces with a function parameter -- An extension of fourier type to quasi-Banach spaces -- ?-Moduli and interpolation -- Interpolation spaces and non-linear approximation -- Atomic
decompositions in Hardy spaces on bounded lipschitz domains -- The ?-transform and applications to distribution spaces -- Approximation by solutions of elliptic boundary value problems in various function spaces -- Interpolation of
subspaces and quotient spaces by the complex method -- On interpolation of multi-linear operators -- Markov’s inequality and local polynomial approximation -- Two weights weak type inequality for the maximal function in the zygmund
class -- Banach envelopes of some interpolation quasi-banach spaces -- A construction of eigenvectors for the canonical isometry -- Smoothness of Schmidt functions of smooth Hankel operators -- Real interpolation between some operator
ideals -- Direct and converse theorems for spline and rational approximation and besov spaces -- Interpolation of some analytic families of operators -- Function spaces on lie groups and on analytic manifolds -- Equivalent
normalizations of Sobolev and Nikol’ski? spaces in domains. boundary values and extension -- Remarks on interpolation of subspaces -- Spectral analysis in spaces of continuous functions -- Lipschitz spaces and interpolating polynomials
on subsets of euclidean space -- Problem section -- Errata
ISBN:9783540388418
Series:eBooks
Series:SpringerLink (Online service)
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Series:Lecture Notes in Mathematics: 1302
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1986-9783642703447:ONLINE Show nearby items on shelf
Title:Entire Functions of Several Complex Variables
Author(s): Pierre Lelong
Date:1986
Size:1 online resource (272 p.)
Note:10.1007/978-3-642-70344-7
Contents:1. Measures of Growth -- §1. Preliminaries -- § 2. Subharmonic and Plurisubharmonic Functions -- §3. Norms on ?n and Order of Growth -- §4. Minimal Growth: Liouville’s Theorem and Generalizations -- § 5. Entire Functions of Finite
Order -- §6. Proximate Orders -- §7. Regularizations -- § 8. Indicator of Growth Functions -- § 9. Exceptional Sets for Growth Conditions -- Historical Notes -- 2. Local Metric Properties of Zero Sets and Positive Closed Currents --
§1. Positive Currents -- §2. Exterior Product -- §3. Positive Closed Currents -- § 4. Positive Closed Currents of Degree 1 -- §5. Analytic Varieties and Currents of Integration -- Historical Notes -- 3. The Relationship Between the
Growth of an Entire Function and the Growth of its Zero Set -- §1. Positive Closed Currents of Degree 1 Associated with a Positive Divisor -- § 2. Indicators of Growth of Cousin Data in ?n -- §3. Canonical Potentials in ?m -- § 4. The
Canonical Representation of Entire Functions of Finite Order -- §5. Solution of the ? $$\bar \partial$$ Equation -- § 6. The Case of a Cousin Data -- §7. Slowly Increasing Cousin Data: the Genus q = 0 the Algebraic Case -- §8. The Case
of Integral Order: Extension of a Theorem of Lindelöf -- § 9. Trace of a Cousin Data on Complex Lines -- § 10. The Case of a Cousin Data of Infinite Order -- Historical Notes -- 4. Functions of Regular Growth -- § 1. General Properties
of Functions of Regular growth -- §2. Distribution of the Zeros of Functions of Regular Growth -- Historical Notes -- 5. Holomorphic Mappings from ?n to ?m -- §1. Representation of an Analytic Variety Y in ?n as F-1(0) -- §2. Local
Potentials and the Defect of Plurisubharmonicity -- §3. Global Potentials -- § 4. Construction of a System F of Entire Functions such that Y=F-1(0) -- §5. The Case of Slow Growth -- §6. The Algebraic Case -- §7. The Pseudo Algebraic
Case -- §8. Counterexamples to Uniform Upper Bounds -- §9. An Upper Bound for the Area of F-1(a) for a Holomorphic Map -- § 10. Upper and Lower Bounds for the Trace of an Analytic Variety on Complex Planes -- Historical Notes -- 6.
Application of Entire Functions in Number Theory -- §1. Preliminaries from Number Theory -- §2. A Schwarz Lemma -- §3. Statement and Proof of the Main Theorem -- Historical Notes -- 7. The Indicator of Growth Theorem -- Historical
Notes -- 8. Analytic Functionals -- §1. Convex Sets and the Fourier-Borel Transform -- §2. The Projective Indicator -- §3. The Projective Laplace Transform -- §4. The Case of M a Complex Submanifold of ?n -- §5. The Generalized Laplace
Transform and Indicator Function -- §6. Support for Analytic Functionals -- §7. Unique Supports for Domains in ?n -- §8. Unique Convex Supports -- Historical Notes -- 9. Convolution Operators on Linear Spaces of Entire Functions -- §1.
Linear Topological Spaces of Entire Functions -- § 2. Theorems of Division -- §3. Applications of Convolution Operators in the Spaces Ep?(r)and Eo -- §4. Supplementary Results for Proximate Orders with ?>1 -- §5. The Case ?=1 -- § 6.
More on Functions of Order Less than One -- § 7. Convolution Operators in ?n -- Historical Notes -- Appendix I. Subharmonic and Plurisubharmonic Functions -- Appendix II. The Existence of Proximate Orders
ISBN:9783642703447
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 282
Keywords: Mathematics , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1985-9781475711066:ONLINE Show nearby items on shelf
Title:Complex Analysis in one Variable
Author(s): Raghavan Narasimhan
Date:1985
Size:1 online resource (268 p.)
Note:10.1007/978-1-4757-1106-6
Contents:1 Elementary Theory of Holomorphic Functions -- 1 Some basic properties of ?-differentiable and holomorphic functions -- 2 Integration along curves -- 3 Fundamental properties of holomorphic functions -- 4 The theorems of Weierstrass
and Montel -- 5 Meromorphic functions -- 6 The Looman-Menchoff theorem -- Notes on Chapter 1 -- References : Chapter 1 -- 2 Covering Spaces and the Monodromy Theorem -- 1 Covering spaces and the lifting of curves -- 2 The sheaf of
germs of holomorphic functions -- 3 Covering spaces and integration along curves -- 4 The monodromy theorem and the homotopy form of Cauchy’s theorem -- 5 Applications of the monodromy theorem -- Notes on Chapter 2 -- References :
Chapter 2 -- 3 The Winding Number and the Residue Theorem -- 1 The winding number -- 2 The residue theorem -- 3 Applications of the residue theorem -- Notes on Chapter 3 -- References : Chapter 3 -- 4 Picard’s Theorem -- Notes on
Chapter 4 -- References : Chapter 4 -- 5 The Inhomogeneous Cauchy-Riemann Equation and Runge’s Theorem -- 1 Partitions of unity -- 2 The equation % MathType!MTEF!2!1!+- % feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn %
hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaacq %
GHciITcaWG1baabaGaeyOaIyRabmOEayaaraaaaiabg2da9iabew9a % Mbaa!3DAD!$$ \[\frac{{\partial u}} {{\partial \bar z}} = \phi \]$$ -- 3 Runge’s theorem -- 4 The homology form of Cauchy’s theorem -- Notes on Chapter 5 -- References : Chapter 5
-- 6 Applications of Runge’s Theorem -- 1 The Mittag-Leffler theorem -- 2 The cohomology form of Cauchy’s theorem -- 3 The theorem of Weierstrass -- 4 Ideals in ? (?) -- Notes on Chapter 6 -- References : Chapter 6 -- 7 The Riemann
Mapping Theorem and Simple Connectedness in the Plane -- 1 Analytic automorphisms of the disc and of the annulus -- 2 The Riemann mapping theorem -- 3 Simply connected plane domains -- Notes on Chapter 7 -- References : Chapter 7 -- 8
Functions of Several Complex Variables -- Notes on Chapter 8 -- References : Chapter 8 -- 9 Compact Riemann Surfaces -- 1 Definitions and basic theorems -- 2 Meromorphic functions -- 3 The cohomology group H1(
ISBN:9781475711066
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Applied mathematics , Engineering mathematics , Topology , Mathematics , Functions of a Complex Variable , Analysis , Applications of Mathematics , Topology
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Call number:SPRINGER-1984-9781461252986:ONLINE Show nearby items on shelf
Title:Hyperfunctions and Harmonic Analysis on Symmetric Spaces
Author(s): Henrik Schlichtkrull
Date:1984
Size:1 online resource (186 p.)
Note:10.1007/978-1-4612-5298-6
Contents:1. Hyperfunctions and Microlocal Analysis — An Introduction -- 1.1. Hyperfunctions of one variable -- 1.2. Sheaves -- 1.3. Cohomology of sheaves -- 1.4. Hyperfunctions of several variables -- 1.5. The singular spectrum and
microfunctions -- 1.6. Micro-differential operators -- 1.7. Notes -- 2. Differential Equations with Regular Singularities -- 2.1. Regular singularities for ordinary equations -- 2.2. Regular singularities for partial differential
equations -- 2.3. Boundary values for a single equation -- 2.4. Example -- 2.5. Boundary values for a system of equations -- 2.6. Notes -- 3. Riemannian Symmetric Spaces and Invariant Differential Operators — Preliminaries -- 3.1.
Decomposition and integral formulas for semisimple Lie groups -- 3.2. Parabolic subgroups -- 3.3. Invariant differential operators -- 3.4. Notes -- 4. A Compact Imbedding -- 4.1. Construction and analytic structure of X? -- 4.2.
Invariant differential operators on X? -- 4.3. Regular singularities -- 4.4. Notes -- 5. Boundary Values and Poisson Integral Representations -- 5.1. Poisson transformations -- 5.2. Boundary value maps -- 5.3. Spherical functions and
their asymptotics -- 5.4. Integral representations -- 5.5. Notes and further results -- 6. Boundary Values on the Full Boundary -- 6.1. Partial Poisson transformations -- 6.2. Partial spherical functions and Poisson kernels -- 6.3.
Boundary values and asymptotics -- 6.4. The bijectivity of the partial Poisson transformations -- 6.5. Notes and further results -- 7. Semisimple Symmetric Spaces -- 7.1. The orbits of symmetric subgroups -- 7.2. Root systems -- 7.3. A
fundamental family of functions -- 7.4. A differential property -- 7.5. Asymptotic expansions -- 7.6. The case of equal rank -- 7.7. Examples -- 7.8. Notes and further results -- 8. Construction ff Functions with Integrable Square --
8.1. The invariant measure on G/H -- 8.2. An important duality -- 8.3. Discrete series -- 8.4. Examples -- 8.5. Notes and further results
ISBN:9781461252986
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 49
Keywords: Mathematics , Group theory , Topological groups , Lie groups , Harmonic analysis , Partial differential equations , Functions of complex variables , Differential geometry , Mathematics , Topological Groups, Lie Groups , Abstract Harmonic Analysis , Partial Differential Equations , Differential Geometry , Group Theory and Generalizations , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1984-9781461252962:ONLINE Show nearby items on shelf
Title:Several Complex Variables Proceedings of the 1981 Hangzhou Conference
Author(s):
Date:1984
Size:1 online resource (268 p.)
Note:10.1007/978-1-4612-5296-2
Contents:§1: Methods of Partial Differential Equations -- Boundary behavior of holomorphic mappings -- Invariant metrics on pseudoconvex domains -- Local bounds for orders of contact and a conjecture about subellipticity -- On an ideal of ring
of differential operators -- Microlocalization of CR structures -- A note on the boundary Laplacian operator -- §2: Methods of Differential Geometry -- Géométrie des compactifications des espaces hermitiens localement symétriques --
Holomorphic projective structures and invariant distances -- Complex-analyticity of harmonic maps and vanishing theorems -- The characterization of strictly parabolic spaces -- The characteristic numbers of 4-dimensional Kähler
manifolds -- On the Schwarz lemma for complete hermitian manifolds -- Holomorphic maps and conformal transformation on hermitian manifolds -- The degree of strong nondegeneracy of the bisectional curvature of exceptional bounded
symmetric domains -- §3: Holomorphic Vector Bundles -- Holomorphic vector bundles on tori -- Submanifolds of projective space with semi-stable normal bundle -- Parameters for instanton and smoothness of M(0,2) -- §4: Kernels and
Integral Formulae -- The integral representation for polyhedral domains of ?n -- Removable singularities for holomorphic functions which satisfy the area-BMO condition -- Singular integrals in several complex variables -- Integral
formulae in complex analysis -- On the representative domain -- A remark on Poisson kernels -- Some applications of Bochner-Martinelli integral representation -- §5: Pseudoconvexity, Function Fields, Algebraic Varieties, Value
Distribution Theory -- Some aspects of pseudoconvexity theory in several complex variables -- A higher dimensional analogue of Mordell’s conjecture over function fields and related problems -- Rank-complete function fields -- Chern
classes on algebraic varieties with arbitrary singularities -- A general criterion -- Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension three
ISBN:9781461252962
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Mathematics , Analysis , Several Complex Variables and Analytic Spaces , Functions of a Complex Variable
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Call number:SPRINGER-1983-9781489928436:ONLINE Show nearby items on shelf
Title:Tata Lectures on Theta I
Author(s): David Mumford
Date:1983
Size:1 online resource (240 p.)
Note:10.1007/978-1-4899-2843-6
Contents:Introduction -- Introduction and motivation: theta functions in one variable -- Basic results on theta functions in several variables
ISBN:9781489928436
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 28
Keywords: Mathematics , Functional analysis , Functions of complex variables , Special functions , History , Number theory , Mathematics , Special Functions , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Functional Analysis , Number Theory , History of Mathematical Sciences
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Call number:SPRINGER-1982-9781468492019:ONLINE Show nearby items on shelf
Title:Periods of Hilbert Modular Surfaces
Author(s): Takayuki Oda
Date:1982
Size:1 online resource (128 p.)
Note:10.1007/978-1-4684-9201-9
Contents:I. Hodge structures attached to primitive forms of weight 2 -- 0. Definitions and notations -- 1. Hodge structures attached to Hilbert modular surfaces -- 2. Hodge structures attached to primitive forms of weight 2 -- 3.
Nonholomorphic involutive automorphisms of Hilbert modular surfaces -- 4. Period relation of Riemann-Hodge -- II. Abelian varieties attached to primitive forms -- 5. Abelian varieties attached to Clifford algebras -- 6. The period
moduli of the isogeny classes Atf ? Q and A2f ? Q -- 7. Main theorem A and its corollaries -- 8. Selfconjugate forms and algebraic cycles -- 9. Abelian varieties attached to non-selfconjugate forms -- III. Correspondence between real
Nebentype elliptic modular forms and Hilbert modular forms -- 10. Weil representation and theta series -- 11. Construction of real Nebentype elliptic modular forms -- 12. Construction of Hilbert modular forms -- 13. The adjointness
formula -- IV. Period relation for the lifting of modular forms and transcendental cycles -- 14. Hodge structures attached to real Nebentype elliptic modular forms of weight 2 -- 15. Construction of 2-cycles -- 16. Arithmetic index
theorems -- 17. Period relation for the Doi-Naganuma lifting and Main Theorem B -- 18. Selfconjugate forms and transcendental cycles -- 19. Notes on ?-adic cohomology groups of certain Hilbert modular surfaces -- 20. Remarks --
Bibliography
ISBN:9781468492019
Series:eBooks
Series:SpringerLink (Online service)
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Series:Progress in Mathematics : 19
Keywords: Mathematics , Algebra , Functions of complex variables , Mathematics , Algebra , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1979-9783540348597:ONLINE Show nearby items on shelf
Title:Complex Analysis Joensuu 1978 Proceedings of the Colloquium on Complex Analysis, Joensuu, Finland, August 24–27, 1978
Author(s):
Date:1979
Size:1 online resource (454 p.)
Note:10.1007/BFb0063954
Contents:An extremal displacement mapping in n-space -- On the Grötzsch and Rengel inequalities -- On intertwining dilations. VII -- The Stieltjes cone is logarithmically convex -- Characterizations of normal meromorphic functions -- About
capacities and moduli in infinite-dimensional spaces -- An application of quasi-conformal methods to a problem in value-distribution theory -- Some Jacobian varieties which split -- Singular points of theta functions, quadric relations
and holomorphic differentials with prescribed zeros -- Harmonic morphisms -- Notes on cluster sets at ideal boundary points -- A technique for extending quasiconformal embeddings -- Uniform harmonic approximation on unbounded sets --
Associated measures and the quasiconformality -- Reality of the zeros of derivatives of a meromorphic function -- Some results on functions of bounded index -- The boundary behavior of analytic mappings of Riemann surfaces -- The
Schottky space in dimensions greater than two -- Some exceptional sets in potential theory -- Zur Werteverteilung der Lösungen linearer Differentialgleichungen -- Müntz approximation on arcs and macintyre exponents -- An entire
function with irregular growth and more than one deficient value -- On the Carathéodory metric on the universal Teichmüller space -- On holomorphic continuability of quasiregular functions -- Differential equations associated with
harmonic spaces -- Problems in the theory of closed Riemann surfaces -- Continuation of quasiconformal mappings -- A theorem for entire functions of infinite order -- Quasiregular mappings -- Sur la theorie des fonctions finement
holomorphes (II) -- Integral means and the theorem of Hamilton, Reich and Strebel -- Inner functions with a level-set of infinite length -- On the uniqueness problem for extremal quasiconformal mappings with prescribed boundary values
-- Extensions of quasiconformal deformations -- Removable singularities of analytic and meromorphic functions of several complex variables -- Ahlfors' trivial deformations and Liouville's theorem in Rn -- An application of the calculus
of variations for general families of quasiconformal mappings -- Bers' Teichmüller spaces of klein surfaces -- Growth problems for a class of entire functions via singular integral estimates -- Bemerkung zu einem Satz von Yosida --
Inflatable families of holomorphic functions -- Inner-outer factorization on multiply connected domains -- Defect relations of holomorphic curves and their associated curves in CPm -- Boundary behaviors of quasiregular mappings -- On
the maximal outer function of a semi-spectral measure -- Commuting systems of operators and integral homomorphisms -- Lower bounds for the n-moduli of path families with applications to boundary behavior of quasiconformal and
quasiregular mappings -- Potential theory and approximation of analytic functions by rational interpolation
ISBN:9783540348597
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 747
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Mathematics , Functions of a Complex Variable , Analysis
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Call number:SPRINGER-1979-9781475743579:ONLINE Show nearby items on shelf
Title:Theory of Stein Spaces
Author(s): Hans Grauert
Date:1979
Size:1 online resource (252 p.)
Note:10.1007/978-1-4757-4357-9
Contents:A. Sheaf Theory -- B. Cohomology Theory -- I. Coherence Theory for Finite Holomorphic Maps -- II. Differential Forms and Dolbeault Theory -- III. Theorems A and B for Compact Blocks ?m -- IV. Stein Spaces -- V. Applications of
Theorems A and B -- VI. The Finiteness Theorem -- VII. Compact Riemann Surfaces -- Table of Symbols
ISBN:9781475743579
Series:eBooks
Series:SpringerLink (Online service)
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Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 236
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces , Algebraic Geometry
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Call number:SPRINGER-1978-9783540358473:ONLINE Show nearby items on shelf
Title:Functors and Categories of Banach Spaces Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces
Author(s): Peter W Michor
Date:1978
Size:1 online resource (106 p.)
Note:10.1007/BFb0067828
Contents:Preliminaries -- Computable functors -- Duality of functors -- Tensor products and operator ideals -- Computable bifunctors and minimal operator ideals -- Complete functors and maximal operator ideals -- The projective (p,r,s)-tensor
product
ISBN:9783540358473
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 651
Keywords: Mathematics , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1977-9783540372622:ONLINE Show nearby items on shelf
Title:Banach Spaces of Analytic Functions Proceedings of the Pelczynski Conference Held at Kent State University, July 12–16, 1976
Author(s):
Date:1977
Size:1 online resource (144 p.)
Note:10.1007/BFb0069197
Contents:An extension of the Riesz-Thorin theorem -- Some algebras of bounded analytic functions containing the disk algebra -- A theorem on composition operators -- The distance of symmetric spaces from ? p (n) -- Weakly convergent sequences
of Banach space valued random variables -- Two remarks on interpolation by bounded analytic functions -- Norm attaining operators on C(S) spaces -- Local unconditional structure in Banach spaces -- Duals of tensor products -- Closed
ideals in rings of analytic functions satisfying a Lipschitz condition -- A separable reflexive Banach space having no finite dimensional ?ebyšev subspaces -- A nonlocally convex F-space with the Hahn-Banach approximation property --
The Banach-Mazur distance between function algebras on degenerating Riemann surfaces -- Operator theory in harmonic analysis -- Cluster sets and corona theorems -- Remarks on F-spaces of analytic functions -- Extremely smooth Banach
spaces -- A proof of the martingale convergence theorem in Banach spaces
ISBN:9783540372622
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 604
Keywords: Mathematics , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1977-9783540371205:ONLINE Show nearby items on shelf
Title:Higher Order Contact of Submanifolds of Homogeneous Spaces
Author(s): Gary R Jensen
Date:1977
Size:1 online resource (158 p.)
Note:10.1007/BFb0068415
Contents:The general theory -- Surfaces in R 3 under the Euclidean group of proper motions -- Curves in real Grassmannians -- Holomorphic curves in complex projective space -- Holomorphic curves in complex Grassmannians -- Special affine
surface theory
ISBN:9783540371205
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 610
Keywords: Mathematics , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1977-9783540369912:ONLINE Show nearby items on shelf
Title:Spectral Decompositions on Banach Spaces
Author(s): Ivan Erdelyi
Date:1977
Size:1 online resource (122 p.)
Note:10.1007/BFb0065476
Contents:Invariant subspaces -- The general spectral decomposition -- Asymptotic spectral decompositions -- Decomposable operators
ISBN:9783540369912
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 623
Keywords: Mathematics , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1976-9783540382010:ONLINE Show nearby items on shelf
Title:Spaces of Analytic Functions Seminar Held at Kristiansand, Norway, June 9–14, 1975
Author(s):
Date:1976
Size:1 online resource (206 p.)
Note:10.1007/BFb0080017
Contents:Hilbert space methods and interpolating sets in the spectrum of an aldgebra of operators -- Extreme orthogonal boundary measures for A(K) and decompositions for compact convex sets -- Boundary zero-sets of A? functions on strictly
pseudo-convex domains -- Higher point derivations on commutative Banach algebras -- Classification of essentially normal operators -- Fine potential and function algebras -- Bounded point evaluations and approximation in LP by analytic
functions -- Hartogs series, Hartogs functions and Jensen measures -- Some remarks on injective Banach algebras -- Some remarks on automatic continuity -- On banach space properties of uniform algebras -- Algebras between L? and H? --
The modulus of continuity of an analytic function -- Multi-dimensional analytic structure in the spectrum of a uniform algebra -- Boundary values for the solutions of the -equation and application to the Nevanlinna class -- On a class
of Banach algebras -- Pseudodifferential operators and the -equation -- Problems
ISBN:9783540382010
Series:eBooks
Series:SpringerLink (Online service)
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Series:Lecture Notes in Mathematics: 512
Keywords: Mathematics , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1976-9781461298748:ONLINE Show nearby items on shelf
Title:Several Complex Variables
Author(s):
Date:1976
Size:1 online resource (208 p.)
Note:10.1007/978-1-4612-9874-8
Contents:I Holomorphic Functions -- 1 Power Series -- 2 Complex Differentiable Functions -- 3 The Cauchy Integral -- 4 Identity Theorems -- 5 Expansion in Reinhardt Domains -- 6 Real and Complex Differentiability -- 7 Holomorphic Mappings --
II Domains of Holomorphy -- 1 The Continuity Theorem -- 2 Pseudoconvexity -- 3 Holomorphic Convexity -- 4 The Thullen Theorem -- 5 Holomorphically Convex Domains -- 6 Examples -- 7 Riemann Domains over ?n -- 8 Holomorphic Hulls -- III
The Weierstrass Preparation Theorem -- 1 The Algebra of Power Series -- 2 The Weierstrass Formula -- 3 Convergent Power Series -- 4 Prime Factorization -- 5 Further Consequences (Hensel Rings, Noetherian Rings) -- 6 Analytic Sets -- IV
Sheaf Theory -- 1 Sheaves of Sets -- 2 Sheaves with Algebraic Structure -- 3 Analytic Sheaf Morphisms -- 4 Coherent Sheaves -- V Complex Manifolds -- 1 Complex Ringed Spaces -- 2 Function Theory on Complex Manifolds -- 3 Examples of
Complex Manifolds -- 4 Closures of ?n -- VI Cohomology Theory -- 1 Flabby Cohomology -- 2 The ?ech Cohomology -- 3 Double Complexes -- 4 The Cohomology Sequence -- 5 Main Theorem on Stein Manifolds -- VII Real Methods -- 1 Tangential
Vectors -- 2 Differential Forms on Complex Manifolds -- 3 Cauchy Integrals -- 4 Dolbeault’s Lemma -- 5 Fine Sheaves (Theorems of Dolbeault and de Rham) -- List of symbols
ISBN:9781461298748
Series:eBooks
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Series:Graduate Texts in Mathematics: 38
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1974-9783540378273:ONLINE Show nearby items on shelf
Title:Functional Analysis and its Applications International Conference, Madras, 1973
Author(s):
Date:1974
Size:1 online resource (575 p.)
Note:10.1007/BFb0063562
Contents:Non-abelian pontryagin duality -- The topological dual, the algebraic dual and Radon-Nikodym derivatives -- Segal algebras and dense ideals in Banach algebras -- Field approximation and free approximation for differential equations -- Linear interpo lation and linear extension of functions -- Wave front sets and hypoelliptic operators -- Harmonic analysis in the complex domain and applications in the theory of analytical and infinitely differentiable functions -- Müntz-szasz theorem with integral co efficients I -- Inductive limits of Banach spaces and complex analysis -- Representation of nonlinear operators with the hammerstein property -- On polynomial approximation with respect to general weights -- Determination of conformal modules of ring doma ins and quadrilaterals -- Solovay's axion and functional analysis -- Q — Uniform algebras and operator theory -- On polynomials with a prescribed zero -- A priori inequalities for systems of partial differential equations -- Recent results
on Segal algebras -- Measurability of lattice operations in a cone -- On some nonlinear elliptic boundary value problems -- Quasicomplemented Banach algebras -- On the (Lp, Lp) multipliers -- Heredity in metric projections -- Multipliers on weighted spaces -- On properties of traces of functions belonging to weight spaces -- Fundamental solutions of hyperbolic differential equations -- Non-self-conjugate differential dirac operators expansion in eigenfunctions through the whole axis -- Topological a lgebras in several complex variables -- Spectra of composition operators on C[0,1] -- Linear functionals on vector valued köthe spaces -- A general view on unitary dilations -- Quantization in Hamiltonian particle mechanics -- The lebesgue constants for polynomial interpolation -- Approximation theorems for polynomial spline operators -- Characterization of the barrelled, d-barrelled and ?-barrelled spaces of continuous functions -- Cardinal spline interpolation and the exponential Euler
splines -- Approximation of analytic functions in Hausdorff metric -- Invariant means and almost convergence in non-Archimedean analysis -- Parameasures and multipliers of Segal algebras -- Segal algebras of Beurling type -- Splines in Hilbert space s -- A survey of v-integral representation theory for operators on function spaces including the topological vector space setting -- Isotone measures, 1948–1973
ISBN:9783540378273
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Series:Lecture Notes in Mathematics: 399
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1971-9783540364931:ONLINE Show nearby items on shelf
Title:Several Complex Variables II Maryland 1970 Proceedings of the International Mathematical Conference, held at College Park, April 6–17, 1970
Author(s):
Date:1971
Size:1 online resource (294 p.)
Note:10.1007/BFb0058761
Contents:Some transcendental methods in the study of algebraic cycles -- Analytic structures on the space of flat vector bundles over a compact riemann surface -- Analytic continuation on Banach spaces -- On certain representations of semi-simple algebraic groups -- Some number-theoretical results on real analytic automorphic forms -- Recent results on analytic mappings and plurisubharmonic functions in topological linear spaces -- Remarks on the Kobayashi metric -- -Cohomology spaces associated with a cert ain group extension -- Class fields over real quadratic fields in the theory of modular functions -- An Osgood type extension theorem for coherent analytic sheaves -- Complex manifolds and unitary representations
ISBN:9783540364931
Series:eBooks
Series:SpringerLink (Online service)
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Series:Lecture Notes in Mathematics: 185
Keywords: Mathematics , Difference equations , Functional equations , Mathematics , Difference and Functional Equations , Mathematics, general
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Call number:SPRINGER-1970-9783540363446:ONLINE Show nearby items on shelf
Title:Several Complex Variables I Maryland 1970 Proceedings of the International Mathematical Conference, held at College Park, April 6–17, 1970
Author(s):
Date:1970
Size:1 online resource (214 p.)
Note:10.1007/BFb0060312
Contents:Automorphic forms with integral Fourier coefficients -- Spaces of Kleinian groups -- The pluricanonical map of a complex surface -- Algebraic methods in the theory of modular forms -- Verschwindungssätze Für Analytische Kohomologiegruppen Auf Kom plexen Räumen -- Residues on complex spaces -- A remark on boundary values of functions of several complex variables -- Some remarks on Selberg's zeta functions -- On automorphisms and equivalences of Siegel domains -- Cohomology with bounds on complex s paces -- Reduction of the fields of modular functions and the rings of functions on p-adic manifolds -- Value distribution of holomorphic maps -- Extension of coherent analytic subsheaves -- Periodic entire functions and reducible Banach algebras
ISBN:9783540363446
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 155
Keywords: Mathematics , Mathematics , Mathematics, general
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Call number:SPRINGER-1965-9783642480164:ONLINE Show nearby items on shelf
Title:Proceedings of the Conference on Complex Analysis Minneapolis 1964
Author(s):
Date:1965
Size:1 online resource (308 p.)
Note:10.1007/978-3-642-48016-4
Contents:On Factorization of Holomorphic Mappings -- Cauchy Integral Formulas and Boundary Kernel Functions in Several Complex Variables -- Extrinsic Complex Projective Geometry -- Some Properties of Pseudo-conformal Images of Circular Domains in the Theory of Two Complex Variables -- Holomorphic Imbeddings of Symmetric Domains into a Siegel Space -- On Determining Sets in a Stein Manifold -- On the Cohomology Structure of Stein Manifolds -- Normal Families of Non-negative Divisors -- Boundaries of Complex M anifolds -- Local Properties of Holomorphic Mappings -- Automorphic Forms and General Teichmüller Spaces -- The Extension Problem for Compact Submanifolds of Complex Manifolds I (the Case of a Trivial Normal Bundle) -- New Proof for the Existence of Loca lly Complete Families of Complex Structures -- Algebraic Function Fields on Complex Analytic Spaces -- Riemann Surfaces with the Absolute AB-maximum Principle -- A Remark on Non-compact Quotients of Bounded Symmetric Domains -- Pseudo-convex
Domains in Linear Topological Spaces -- Connections for a Class of Pseudogroup Structures -- A Fundamental Lemma on Point Modifications -- Transmission Problems for Holomorphic Fiber Bundles. With 2 Figures -- Attaching Analytic Spaces to an Analyti c Space Along a Pseudoconcave Boundary -- Non-compact Complex Lie Groups without Non-constant Holomorphic Functions -- Uniform Algebras -- Construction of Kleinian Groups -- The Modular Function and Geometric Properties of Quasiconformal Mappings -- Polyn omial Convexity: The Three Spheres Problem -- Appendix : Problems Submitted
ISBN:9783642480164
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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