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SPIRES-BOOKS: FIND KEYWORD OPERATIONAL CALCULUS *END*INIT* use /tmp/qspiwww.webspi1/12939.115 QRY 131.225.70.96 . find keyword operational calculus ( in books using www Cover
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Call number:SPRINGER-2016-9783319287393:ONLINE Show nearby items on shelf
Title:Nonlocal Diffusion and Applications
Author(s): Claudia Bucur
Date:2016
Size:1 online resource (23 p.)
Note:10.1007/978-3-319-28739-3
Contents:Introduction -- 1 A probabilistic motivation.-1.1 The random walk with arbitrarily long jumps -- 1.2 A payoff model.-2 An introduction to the fractional Laplacian.-2.1 Preliminary notions -- 2.2 Fractional Sobolev Inequality and Generalized Coarea F ormula -- 2.3 Maximum Principle and Harnack Inequality -- 2.4 An s-harmonic function -- 2.5 All functions are locally s-harmonic up to a small error -- 2.6 A function with constant fractional Laplacian on the ball -- 3 Extension problems -- 3.1 Water wave model -- 3.2 Crystal dislocation -- 3.3 An approach to the extension problem via the Fourier transform -- 4 Nonlocal phase transitions -- 4.1 The fractional Allen-Cahn equation -- 4.2 A nonlocal version of a conjecture by De Giorgi -- 5 Nonlocal minimal surfaces -- 5.1 Graphs and s-minimal surfaces -- 5.2 Non-existence of singular cones in dimension 2 5.3 Boundary regularity -- 6 A nonlocal nonlinear stationary Schrödinger type equation -- 6.1 From the nonlocal Uncertainty Principle to a
fractional weighted inequality -- Alternative proofs of some results -- A.1 Another proof of Theorem A.2 Another proof of Lemma 2.3 -- References
ISBN:9783319287393
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes of the Unione Matematica Italiana: 20
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Partial differential equations , Calculus of variations , Mathematics , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-2016-9783319278070:ONLINE Show nearby items on shelf
Title:Advanced Calculus of a Single Variable
Author(s): Tunc Geveci
Date:2016
Size:1 online resource (77 p.)
Note:10.1007/978-3-319-27807-0
Contents:Preface -- Real Numbers, Sequences and Limits -- Limits and Continuity of Functions -- The Derivative -- The Riemann Integral -- Infinite Series -- Sequences and Series of Functions. Index.
ISBN:9783319278070
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-2016-9783034809641:ONLINE Show nearby items on shelf
Title:Application of Holomorphic Functions in Two and Higher Dimensions
Author(s): Klaus Gürlebeck
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-3-0348-0964-1
Contents:1.Basic Properties of Holomorphic Functions -- 2.Conformal and Quasi-conformal Mappings -- 3.Function Theoretic Function spaces -- 4.Operator Calculus -- 5.Decompositions -- 6.Some First Order Systems of Partial Differential Equations -- 7.Boundary Value Problems of Second Order Partial Differential Equations -- 8.Some Initial-boundary Value Problems -- 9.Riemann-Hilbert Problems -- 10.Initial Boundary Value Problems on the Sphere -- 11.Fourier Transforms -- Bibliography -- Index
ISBN:9783034809641
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Mathematics , Integral Transforms, Operational Calculus , Functions of a Complex Variable , Partial Differential Equations , Functional Analysis
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Call number:SPRINGER-2016-9781493930289:ONLINE Show nearby items on shelf
Title:Linear Canonical Transforms Theory and Applications
Author(s):
Date:2016
Size:1 online resource (26 p.)
Note:10.1007/978-1-4939-3028-9
Contents:Foreward -- PART I : Fundamentals -- Development of linear canonical transforms – a historical sketch -- The linear canonical transformation: definition and properties -- Eigenfunctions of the linear canonical transform -- Uncertainty
principles and the linear canonical transform -- The linear canonical transformations in classical optics -- Optical Implementation of Linear Canonical Transforms -- PART II : Discretization and Computation -- Linear canonical domains
and degrees of freedom of signals and systems -- Sampling and discrete linear canonical transforms -- Self-imaging and discrete paraxial optics -- Fast algorithms for digital computation of linear canonical transforms -- PART III :
Applications -- Deterministic phase retrieval using the LCT -- Analyzing digital holographic systems with the LCT -- Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and
countermeasures -- Complex valued ABCD Matrices -- Linear canonical transforms on quantum states of light
ISBN:9781493930289
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Optical Sciences: 198
Keywords: Physics , Integral transforms , Operational calculus , Optics , Electrodynamics , Microwaves , Optical engineering , Physics , Optics and Electrodynamics , Microwaves, RF and Optical Engineering , Integral Transforms, Operational Calculus , Numerical and Computational Physics
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Call number:SPRINGER-2014-9781461484356:ONLINE Show nearby items on shelf
Title:An Introduction to Traffic Flow Theory [electronic resource]
Author(s): Lily Elefteriadou
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Thistextprovides a comprehensive and concise treatment of the topic of traffic flow theory and includes several topics relevant to todays highway transportation system.It provides the fundamental principles of trafficflow theory as well as applicatio ns of those principles for evaluating specific types of facilities (freeways, intersections, etc.). Newer concepts of Intelligent transportation systems (ITS) and their potential impact on trafficflow are discussed. State-of-the-art in traffic flow resear ch and microscopic traffic analysis and traffic simulation have significantly advanced and are also discussed in this text. Real world examples and useful problem setscomplement each chapter. This textbook is meant for use in advanced undergraduate/gradua te level courses in traffic flow theory with prerequisites including two semesters of calculus, statistics, and an introductory course intransportation. The text would also be of interest to transportation professionals as a refresher in traffic flow theo ry, or as a reference. Students and engineers of diverse backgrounds will find this text accessible and applicableto todays traffic issues
Contents:Introduction
Part 1
1. Modeling the Motion of a Single Vehicle
2. Modeling Vehicle Interactions and the Movement of Groups of Vehicles
Part 2
3. The Traffic Stream: Traffic Flow Performance Characteristics
4. Capacity
5. Traffic Operational Performance Measures
Part 3
6. Analytical Models for Bottleneck and Queuing Evaluations
7. Simulation Modeling
Part 4
8. Freeways
9. Signalized Intersections and Networks
10. Unsignalized Intersections
11.Two
Lane Highways
Appendix A
Appendix B
Index
ISBN:9781461484356
Series:eBooks
Series:SpringerLink
Series:Springer Optimization and Its Applications, 1931-6828 : v84
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Civil engineering
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Call number:SPRINGER-2004-9783764378042:ONLINE Show nearby items on shelf
Title:Generalized Analytic Automorphic Forms in Hypercomplex Spaces
Author(s): Rolf Sören Krausshar
Date:2004
Size:1 online resource (168 p.)
Note:10.1007/b95203
Contents:Introduction -- 1. Function Theory in Hypercomplex Spaces -- 2. Clifford-analytic Eisenstein Series Associated to Translation Groups -- 3. Clifford-analytic Modular Forms -- Bibliography -- Index
ISBN:9783764378042
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Integral transforms , Operational calculus , Potential theory (Mathematics) , Sequences (Mathematics) , Special functions , Number theory , Mathematics , Special Functions , Integral Transforms, Operational Calculus , Potential Theory , Sequences, Series, Summability , Number Theory
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Call number:SPRINGER-2004-9783662102251:ONLINE Show nearby items on shelf
Title:Tauberian Theory A Century of Developments
Author(s): Jacob Korevaar
Date:2004
Size:1 online resource (483 p.)
Note:10.1007/978-3-662-10225-1
Contents:I The Hardy—Littlewood Theorems -- II Wiener’s Theory -- III Complex Tauberian Theorems -- IV Karamata’s Heritage: Regular Variation -- V Extensions of the Classical Theory -- VI Borel Summability and General Circle Methods -- VII
Tauberian Remainder Theory -- References
ISBN:9783662102251
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 329
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Fourier analysis , Integral transforms , Operational calculus , Sequences (Mathematics) , Number theory , Mathematics , Analysis , Sequences, Series, Summability , Approximations and Expansions , Fourier Analysis , Integral Transforms, Operational Calculus , Number Theory
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Call number:SPRINGER-2004-9783540707462:ONLINE Show nearby items on shelf
Title:Spectral Properties of Noncommuting Operators
Author(s): Brian Jefferies
Date:2004
Size:1 online resource (184 p.)
Note:10.1007/b97327
Contents:Introduction -- Weyl Calculus -- Clifford Analysis -- Functional Calculus for Noncommuting Operators -- The Joint Spectrum of Matrices -- The Monogenic Calculus for Sectorial Operators -- Feynman's Operational Calculus -- References
-- Index
ISBN:9783540707462
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1843
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Fourier analysis , Functions of complex variables , Operator theory , Mathematics , Analysis , Operator Theory , Functions of a Complex Variable , Fourier Analysis
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Call number:SPRINGER-2004-9783034879415:ONLINE Show nearby items on shelf
Title:Reconstructive Integral Geometry
Author(s): Victor Palamodov
Date:2004
Size:1 online resource (164 p.)
Note:10.1007/978-3-0348-7941-5
Contents:1 Distributions and Fourier Transform -- 1.1 Introduction -- 1.2 Distributions and generalized functions -- 1.3 Tempered distributions -- 1.4 Homogeneous distributions -- 1.5 Manifolds and differential forms -- 1.6 Push down and pull
back -- 1.7 More on the Fourier transform -- 1.8 Bandlimited functions and interpolation -- 2 Radon Transform -- 2.1 Properties -- 2.2 Inversion formulae -- 2.3 Alternative formulae -- 2.4 Range conditions -- 2.5 Frequency analysis --
2.6 Radon transform of differential forms -- 3 The Funk Transform -- 3.1 Factorable mappings -- 3.2 Spaces of constant curvature -- 3.3 Inversion of the Funk transform -- 3.4 Radon’s inversion via Funk’s inversion -- 3.5 Unified form
-- 3.6 Funk-Radon transform and wave fronts -- 3.7 Integral transform of boundary discontinuities -- 3.8 Nonlinear artifacts -- 3.9 Pizetti formula for arbitrary signature -- 4 Reconstruction from Line Integrals -- 4.1 Pencils of lines
and John’s equation -- 4.2 Sources at infinity -- 4.3 Reduction to the Radon transform -- 4.4 Rays tangent to a surface -- 4.5 Sources on a proper curve -- 4.6 Reconstruction from plane integrals of sources -- 4.7 Line integrals of
differential forms -- 4.8 Exponential ray transform -- 4.9 Attenuated ray transform -- 4.10 Inversion formulae -- 4.11 Range conditions -- 5 Flat Integral Transform -- 5.1 Reconstruction problem -- 5.2 Odd-dimensional subspaces -- 5.3
Even dimension -- 5.4 Range of the flat transform -- 5.5 Duality for the Funk transform -- 5.6 Duality in Euclidean space -- 6 Incomplete Data Problems -- 6.1 Completeness condition -- 6.2 Radon transform of Gabor functions -- 6.3
Reconstruction from limited angle data -- 6.4 Exterior problem -- 6.5 The parametrix method -- 7 Spherical Transform and Inversion -- 7.1 Problems -- 7.2 Arc integrals in the plane -- 7.3 Hemispherical integrals in space -- 7.4
Incomplete data -- 7.5 Spheres centred on a sphere -- 7.6 Spheres tangent to a manifold -- 7.7 Characteristic Cauchy problem -- 7.8 Fundamental solution for the adjoint operator -- 8 Algebraic Integral Transform -- 8.1 Problems -- 8.2
Special cases -- 8.3 Multiplicative differential equations -- 8.4 Funk transform of Leray forms -- 8.5 Differential equations for hypersurface integrals -- 8.6 Howard’s equations -- 8.7 Range of differential operators -- 8.8 Decreasing
solutions of Maxwell’s system -- 8.9 Symmetric differential forms -- 9 Notes -- Notes to Chapter 1 -- Notes to Chapter 2 -- Notes to Chapter 3 -- Notes to Chapter 4 -- Notes to Chapter 5 -- Notes to Chapter 6 -- Notes to Chapter 7 --
Notes to Chapter 8
ISBN:9783034879415
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Monographs in Mathematics : 98
Keywords: Mathematics , Fourier analysis , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus , Fourier Analysis
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Call number:SPRINGER-2004-9783034878463:ONLINE Show nearby items on shelf
Title:Applied Laplace Transforms and z-Transforms for Scientists and Engineers A Computational Approach using a Mathematica Package
Author(s): Urs Graf
Date:2004
Size:1 online resource (500 p.)
Note:10.1007/978-3-0348-7846-3
Contents:1 Laplace Transformation -- 1.1 The One-Sided Laplace Transform -- 1.2 The Two-Sided Laplace Transform -- 1.3 Ordinary Linear Differential Equations -- 2 z-Transformation -- 2.1 z-Transforms and Inverse z-Transforms -- 2.2 Difference
Equations -- 3 Laplace Transforms with the Package -- 3.1 Basics -- 3.2 The Use of Transformation Rules -- 3.3 The Finite Laplace Transform -- 3.4 Special Functions -- 3.5 Inverse Laplace Transformation -- 3.6 Differential Equations --
4 z-Transformation with the Package -- 4.1 Basics -- 4.2 Use of Transformation Rules -- 4.3 Difference Equations -- 5 Applications To Automatic Control -- 5.1 Controller Configurations -- 5.2 State-Variable Analysis -- 5.3 Second Order
Differential Systems -- 5.4 Stability -- 5.5 Frequency Analysis -- 5.6 Sampled-Data Control Systems -- 6 Laplace Transformation: Further Topics -- 6.1 The Complex Inversion Formula -- 6.2 Laplace Transforms and Asymptotics -- 6.3
Differential Equations -- 7 z-Transformation: Further Topics -- 7.1 The Advanced z-Transformation -- 7.2 Applications -- 7.3 Use of the Package -- 8 Examples from Electricity -- 8.1 Transmission Lines -- 8.2 Electrical Networks -- 9
Examples from Control Engineering -- 9.1 Control of an Inverted Pendulum -- 9.2 Controling a Seesaw-Pendulum -- 9.3 Control of a DC Motor -- 9.4 A Magnetic-Ball-Suspension-System -- 9.5 A Sampled-Data State-Variable Control System --
10 Heat Conduction and Vibration Problems -- 10.1 Flow of Heat -- 10.2 Waves and Vibrations in Elastic Solids -- 11 Further Techniques -- 11.1 Duhamel’s Formulas -- 11.2 Green’s Functions -- 11.3 Fundamental Solutions -- 11.4 Finite
Fourier Transforms -- 12 Numerical Inversion of Laplace Transforms -- 12.1 Inversion by the Use of Laguerre Functions -- 12.2 Inversion by Use of Fourier Analysis -- 12.3 The Use of Gaussian Quadrature Formulas -- 12.4 The Method of
Gaver and Stehfest -- 12.5 Example -- Appendix: Package Commands
ISBN:9783034878463
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Functional analysis , Integral transforms , Operational calculus , Computer mathematics , Mathematics , Functional Analysis , Symbolic and Algebraic Manipulation , Integral Transforms, Operational Calculus , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2004-9781461220589:ONLINE Show nearby items on shelf
Title:Approximation Theory Using Positive Linear Operators
Author(s): Radu Păltănea
Date:2004
Size:1 online resource (202 p.)
Note:10.1007/978-1-4612-2058-9
Contents:1 Introduction -- 1.1 Operators and functionals. Moduli of continuity -- 1.2 Approximation of functions by sequences of positive linear operators -- 2 Estimates with Second Order Moduli -- 2.1 A general approach -- 2.2 Estimates with
moduli ?2? and ?2? -- 2.3 Estimates with modulus ?2d -- 2.4 Estimates with modulus ?2dd -- 2.5 Estimates with Ditzian—Totik modulus -- 3 Absolute Optimal Constants -- 3.1 Introduction -- 3.2 Discrete functionals and the classical
second order modulus ?2 -- 3.3 General functionals and the second order modulus with parameter ?2? -- 4 Estimates for the Bernstein Operators -- 4.1 Various types of estimates -- 4.2 Best constant in the estimate with modulus ?2 -- 4.3
Global smoothness preservation -- 5 Two Classes of Bernstein Type Operators -- 5.1 Generalized Brass type operators -- 5.2 Generalized Durrmeyer type operators -- 6 Approximation Operators for Vector-Valued Functions -- 6.1
Approximation of functions with real argument -- 6.2 Approximation of functions with vector argument -- References
ISBN:9781461220589
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Field theory (Physics) , Approximation theory , Functional analysis , Integral transforms , Operational calculus , Operator theory , Applied mathematics , Engineering mathematics , Mathematics , Approximations and Expansions , Field Theory and Polynomials , Functional Analysis , Integral Transforms, Operational Calculus , Operator Theory , Applications of Mathematics
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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-2003-9783034880770:ONLINE Show nearby items on shelf
Title:Reproducing Kernel Spaces and Applications
Author(s):
Date:2003
Size:1 online resource (344 p.)
Note:10.1007/978-3-0348-8077-0
Contents:Realization of Functions into the Symmetrised Bidisc -- A Basic Interpolation Problem for Generalized Schur Functions and Coisometric Realizations -- Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative
Settings -- On Realizations of Rational Matrix Functions of Several Complex Variables II -- Bergman Projection and Weighted Holomorphic Functions -- Linear Fractional Transformations, Riccati Equations and Bitangential Interpolation,
Revisited -- A Class of Matrix-valued Schrödinger Operators with Prescribed Finite-band Spectra -- Laplace Transforms Asymptotics, Bergman Kernels and Composition Operators -- On the Structure of Self-similar Systems: A Hilbert Space
Approach -- Reproducing Kernels and a Family of Bounded Linear Operators -- Multipliers in the Reproducing Kernel Hilbert Space, Subnormality and Noncommutative Complex Analysis -- Existence of Unitary Dilations as a Moment Problem
ISBN:9783034880770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications : 143
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Mathematics , Operator Theory , Functional Analysis , Functions of a Complex Variable , Integral Transforms, Operational Calculus , Partial Differential Equations
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Call number:SPRINGER-2003-9783034879804:ONLINE Show nearby items on shelf
Title:Basic Classes of Linear Operators
Author(s): Israel Gohberg
Date:2003
Size:1 online resource (XVII, 423p p.)
Note:10.1007/978-3-0348-7980-4
Contents:Introduction -- Hilbert Spaces -- Bounded Linear Operators on Hilbert Spaces -- Laurent and Toeplitz Operators on Hilbert Spaces -- Spectral Theory of Compact Self-Adjoint Operators -- Spectral Theory of Integral Operators --
Unbounded Operators on Hilbert Spaces -- Oscillations of an Elastic String -- Operational Calculus with Applications -- Solving Linear Equations by Iterative Methods -- Further Developments of the Spectral Theorem -- Banach Spaces --
Linear Operators Banach Spaces -- Compact Operators on Banach Spaces -- Poincaré Operators: Determinant and Trace -- Fredholm Operators -- Toeplitz and Singular Integral Operators -- Nonlinear Operators
ISBN:9783034879804
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Operator theory , Mathematics , Operator Theory
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Call number:SPRINGER-2003-9781461500575:ONLINE Show nearby items on shelf
Title:Computational Techniques for the Summation of Series
Author(s): Anthony Sofo
Date:2003
Size:1 online resource (189 p.)
Note:10.1007/978-1-4615-0057-5
Contents:1. Some Methods for closed form Representation -- 1 Some Methods -- 2 A Tree Search Sum and Some Relations -- 2. Non-Hypergeometric Summation -- 1 Introduction -- 2 Method -- 3 Burmann’s Theorem and Application -- 4 Differentiation
and Integration -- 5 Forcing Terms -- 6 Multiple Delays, Mixed and Neutral Equations -- 7 Bruwier Series -- 8 Teletraffic Example -- 9 Neutron Behaviour Example -- 10 A Renewal Example -- 11 Ruin Problems in Compound Poisson Processes
-- 12 A Grazing System -- 13 Zeros of the Transcendental Equation -- 14 Numerical Examples -- 15 Euler’sWork -- 16 Jensen’s Work -- 17 Ramanujan’s Question -- 18 Cohen’s Modification and Extension -- 19 Conolly’s Problem -- 3.
Bürmann’s Theorem -- 1 Introduction -- 2 Bürmann’s Theorem and Proof -- 3 Convergence Region -- 4. Binomial type Sums -- 1 Introduction -- 2 Problem Statement -- 3 A Recurrence Relation -- 4 Relations Between Gk (m) and Fk+1 (m) -- 5.
Generalization of the Euler Sum -- 1 Introduction -- 2 1-Dominant Zero -- 3 The K-Dominant Zeros Case -- 6. Hypergeometric Summation: Fibonacci and Related Series -- 1 Introduction -- 2 The Difference-Delay System -- 3 The Infinite Sum
-- 4 The Lagrange Form -- 5 Central Binomial Coefficients -- 6 Fibonacci, Related Polynomials and Products -- 7 Functional Forms -- 7. Sums and Products of Binomial Type -- 1 Introduction -- 2 Technique -- 3 Multiple Zeros -- 4 More
Sums -- 5 Other Forcing Terms -- 8. Sums of Binomial Variation -- 1 Introduction -- 2 One Dominant Zero -- 3 Multiple Dominant Zeros -- 4 Zeros -- 5 Non-zero Forcing Terms -- References -- About the Author
ISBN:9781461500575
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Difference equations , Functional equations , Functions of complex variables , Integral transforms , Operational calculus , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Difference and Functional Equations , Integral Transforms, Operational Calculus , Numeric Computing , Functions of a Complex Variable
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Call number:SPRINGER-2003-9781461500490:ONLINE Show nearby items on shelf
Title:Digital Sound Synthesis by Physical Modeling Using the Functional Transformation Method
Author(s): Lutz Trautmann
Date:2003
Size:1 online resource (226 p.)
Note:10.1007/978-1-4615-0049-0
Contents:1. Introduction -- 2. Sound-Based Synthesis Methods -- 1 Wavetable synthesis -- 2 Granular synthesis -- 3 Additive synthesis -- 4 Subtractive synthesis -- 5 FM synthesis -- 6 Combinations of sound-based synthesis methods -- 3.
Physical Description of Musical instruments -- 1 General notation -- 2 Subdivision of a musical instrument into vibration generators and a resonant body -- 3 Physical description of string vibrations -- 4 Physical description of
membrane vibrations -- 5 Physical description of resonant bodies -- 6 Chapter summary -- 4. Classical Synthesis Methods Based on Physical Models -- 1 Finite difference method -- 2 Digital waveguide method -- 3 Modal synthesis -- 4
Chapter summary -- 5. Functional Transformation Method -- 1 Fundamental principles of the FTM -- 2 Application of the FTM to vibrating strings -- 3 Application of the FTM to vibrating membranes -- 4 Application of the FTM to resonant
bodies -- 5 Chapter summary -- 6. Comparison of the Ftm with the Classical Physical Modeling Methods -- 1 Comparison of the FTM with the FDM -- 2 Comparison and combination of the FTM with the DWG -- 3 Comparison of the FTM with the MS
-- 4 Chapter conclusions -- 7. Summary, Conclusions, and Outlook
ISBN:9781461500490
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Integral transforms , Operational calculus , Partial differential equations , System theory , Acoustics , Vibration , Dynamical systems , Dynamics , Mathematics , Partial Differential Equations , Vibration, Dynamical Systems, Control , Integral Transforms, Operational Calculus , Acoustics , Systems Theory, Control
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Call number:SPRINGER-2003-9781447100836:ONLINE Show nearby items on shelf
Title:Special Relativity
Author(s): Nicholas M. J Woodhouse
Date:2003
Size:1 online resource (196 p.)
Note:10.1007/978-1-4471-0083-6
Contents:1. Relativity in Classical Mechanics -- 1.1 Frames of Reference -- 1.2 Relativity -- 1.3 Frames of Reference -- 1.4 Newton’s Laws -- 1.5 Galilean Transformations -- 1.6 Mass, Energy, and Momentum -- 1.7 Space-time -- 1.8 *Galilean
Symmetries -- 1.9 Historical Note -- 2. Maxwell’s Theory -- 2.1 Introduction -- 2.2 The Unification of Electricity and Magnetism -- 2.3 Charges, Fields, and the Lorentz Force Law -- 2.4 Stationary Distributions of Charge -- 2.5 The
Divergence of the Magnetic Field -- 2.6 Inconsistency with Galilean Relativity -- 2.7 The Limits of Galilean Invariance -- 2.8 Faraday’s Law of Induction -- 2.9 The Field of Charges in Uniform Motion -- 2.10 Maxwell’s Equations -- 2.11
The Continuity Equation -- 2.12 Conservation of Charge -- 2.13 Historical Note -- 3. The Propagation of Light -- 3.1 The Displacement Current -- 3.2 The Source-free Equations -- 3.3 The Wave Equation -- 3.4 Monochromatic Plane Waves --
3.5 Polarization -- 3.6 Potentials -- 3.7 Gauge Transformations -- 3.8 Photons -- 3.9 Relativity and the Propagation of Light -- 3.10 The Michelson-Morley Experiment -- 4. Einstein’s Special Theory of Relativity -- 4.1 Lorentz’s
Contraction -- 4.2 Operational Definitions of Distance and Time -- 4.3 The Relativity of Simultaneity -- 4.4 Bondi’s fc-Factor -- 4.5 Time Dilation -- 4.6 The Two-dimensional Lorentz Transformation -- 4.7 Transformation of Velocity --
4.8 The Lorentz Contraction -- 4.9 Composition of Lorentz Transformations -- 4.10 Rapidity -- 4.11 *The Lorentz and Poincaré Groups -- 5. Lorentz Transformations in Four Dimensions -- 5.1 Coordinates in Four Dimensions -- 5.2
Four-dimensional Coordinate Transformations -- 5.3 The Lorentz Transformation in Four Dimensions -- 5.4 The Standard Lorentz Transformation -- 5.5 The General Lorentz Transformation -- 5.6 Euclidean Space and Minkowski Space -- 5.7
Four-vectors -- 5.8 Temporal and Spatial Parts -- 5.9 The Inner Product -- 5.10 Classification of Four-vectors -- 5.11 Causal Structure of Minkowski Space -- 5.12 Invariant Operators -- 5.13 The Frequency Four-vector -- 5.14 * Affine
Spaces and Covectors -- 6. Relative Motion -- 6.1 Transformations Between Frames -- 6.2 Proper Time -- 6.3 Four-velocity -- 6.4 Four-acceleration -- 6.5 Constant Acceleration -- 6.6 Continuous Distributions -- 6.7 *Rigid Body Motion --
6.8 Visual Observation -- 7. Relativistic Collisions -- 7.1 The Operational Definition of Mass -- 7.2 Conservation of Four-momentum -- 7.3 Equivalence of Mass and Energy -- 8. Relativistic Electrodynamics -- 8.1 Lorentz Transformations
of E and B -- 8.2 The Four-Current and the Four-potential -- 8.3 Transformations of E and B -- 8.4 Linearly Polarized Plane Waves -- 8.5 Electromagnetic Energy -- 8.6 The Four-momentum of a Photon -- 8.7 *Advanced and Retarded
Solutions -- 9. *Tensors and Isomet ries -- 9.1 Affine Space -- 9.2 The Lorentz Group -- 9.3 Tensors -- 9.4 The Tensor Product -- 9.5 Tensors in Minkowski Space -- 9.6 Tensor Components -- 9.7 Examples of Tensors -- 9.8 One-parameter
Subgroups -- 9.9 Isometries -- 9.10 The Riemann Sphere and Spinors -- Notes on Exercises -- Vector Calculus
ISBN:9781447100836
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Physics , Gravitation , Mathematics , Applications of Mathematics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Methods in Physics
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Call number:SPRINGER-2002-9789401599221:ONLINE Show nearby items on shelf
Title:Bounded and Compact Integral Operators
Author(s): David E Edmunds
Date:2002
Size:1 online resource (643 p.)
Note:10.1007/978-94-015-9922-1
Contents:1. Hardy-Type Operators -- 2. Fractional Integrals on the Line -- 3. One-Sided Maximal Functions -- 4. Ball Fractional Integrals -- 5. Potentials on RN -- 6. Fractional Integrals on Measure Spaces -- 7. Singular Numbers -- 8. Singular
Integrals -- 9. Multipliers of Fourier Transforms -- 10. Problems -- References
ISBN:9789401599221
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 543
Keywords: Mathematics , Harmonic analysis , Fourier analysis , Integral transforms , Operational calculus , Operator theory , Potential theory (Mathematics) , Mathematics , Potential Theory , Fourier Analysis , Abstract Harmonic Analysis , Integral Transforms, Operational Calculus , Operator Theory
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Call number:SPRINGER-2002-9783540456582:ONLINE Show nearby items on shelf
Title:Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
Author(s): Dang Dinh Ang
Date:2002
Size:1 online resource (186 p.)
Note:10.1007/b84019
Contents:Introduction -- Mathematical Preliminaries -- Regularization of moment problems by trancated expansion and by the Tikhonov method -- Backus-Gilbert regularization of a moment problem -- The Hausdorff moment problem: regularization and
error estimates -- Analytic functions: reconstruction and Sinc approximations -- Regularization of some inverse problems in potential theory -- Regularization of some inverse problems in heat conduction -- Epilogue -- References --
Index
ISBN:9783540456582
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1792
Keywords: Mathematics , Functions of complex variables , Integral equations , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Potential theory (Mathematics) , Mathematics , Functions of a Complex Variable , Potential Theory , Partial Differential Equations , Integral Transforms, Operational Calculus , Integral Equations , Operator Theory
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Call number:SPRINGER-2001-9789401007047:ONLINE Show nearby items on shelf
Title:Noncommutative Differential Geometry and Its Applications to Physics Proceedings of the Workshop at Shonan, Japan, June 1999
Author(s):
Date:2001
Size:1 online resource (308 p.)
Note:10.1007/978-94-010-0704-7
Contents:Methods Of Equivariant Quantization -- Application of Noncommutative Differential Geometry on Lattice to Anomaly Analysis in Abelian Lattice Gauge Theory -- Geometrical Structures on Noncommutative Spaces -- A Relation Between
Commutative and Noncommutative Descriptions of D-Branes -- Intersection Numbers On The Moduli Spaces Of Stable Maps In Genus 0 -- D-Brane Actions On Kähler Manifolds -- On The Projective Classification Of The Modules Of Differential
Operators On ?m -- An Interpretation Of Schouten-Nijenhuis Bracket -- Remarks On The Characteristic Classes Associated With The Group Of Fourier Integral Operators -- C*-Algebraic Deformation And Index Theory -- Singular Systems Of
Exponential Functions -- Determinants Of Elliptic Boundary Problems In Quantum Field Theory -- On Geometry Of Non-Abelian Duality -- Weyl Calculus And Wigner Transform On The Poincaré Disk -- Lectures On Graded Differential Algebras
And Noncommutative Geometry
ISBN:9789401007047
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Physics Studies : 23
Keywords: Physics , Global analysis (Mathematics) , Manifolds (Mathematics) , Integral transforms , Operational calculus , Differential geometry , Quantum physics , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory , Differential Geometry , Quantum Physics , Integral Transforms, Operational Calculus , Global Analysis and Analysis on Manifolds
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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-2001-9781461259855:ONLINE Show nearby items on shelf
Title:Basic Operator Theory
Author(s): Israel Gohberg
Date:2001
Size:1 online resource (304 p.)
Note:10.1007/978-1-4612-5985-5
Contents:I. Hilbert Spaces -- 1. Complex n-space -- 2. The Hubert space ?2 -- 3. Definition of Hubert space and its elementary properties -- 4. Distance from a point to a finite dimensional subspace -- 5. The Gram determinant -- 6.
Incompatible systems of equations -- 7. Least squares fit -- 8. Distance to a convex set and projections onto subspaces -- 9. Orthonormal systems -- 10. Legendre polynomials -- 11. Orthonormal Bases -- 12. Fourier series -- 13.
Completeness of the Legendre polynomials -- 14. Bases for the Hubert space of functions on a square -- 15. Stability of orthonormal bases -- 16. Separable spaces -- 17. Equivalence of Hilbert spaces -- 18. Example of a non separable
space -- Exercises I -- II. Bounded Linear Operators on Hilbert Spaces -- 1. Properties of bounded linear operators -- 2. Examples of bounded linear operators with estimates of norms -- 3. Continuity of a linear operator -- 4. Matrix
representations of bounded linear operators -- 5. Bounded linear functionals -- 6. Operators of finite rank -- 7. Invertible operators -- 8. Inversion of operators by the iterative method -- 9. Infinite systems of linear equations --
10. Integral equations of the second kind -- 11. Adjoint operators -- 12. Self adjoint operators -- 13. Orthogonal projections -- 14. Compact operators -- 15. Invariant subspaces -- Exercises II -- III. Spectral Theory of Compact Self
Adjoint Operators -- 1. Example of an infinite dimensional generalization -- 2. The problem of existence of eigenvalues and eigenvectors -- 3. Eigenvalues and eigenvectors of operators of finite rank -- 4. Theorem of existence of
eigenvalues -- 5. Spectral theorem -- 6. Basic systems of eigenvalues and eigenvectors -- 7. Second form of the spectral theorem -- 8. Formula for the inverse operator -- 9. Minimum-Maximum properties of eigenvalues -- Exercises III --
IV. Spectral Theory of Integral Operators -- 1. Hilbert-Schmidt theorem -- 2. Preliminaries for Mercer’s theorem -- 3. Mercer’s theorem -- 4. Trace formula for integral operators -- 5. Integral operators as inverses of differential
operators -- 6. Sturm-Liouville systems -- Exercises IV -- V. Oscillations of an Elastic String -- 1. The displacement function -- 2. Basic harmonic oscillations -- 3. Harmonic oscillations with an external force -- VI. Operational
Calculus with Applications -- 1. Functions of a compact self adjoint operator -- 2. Differential equations in Hubert space -- 3. Infinite systems of differential equations -- 3. Integro-differential equations -- Exercises VI -- VII.
Solving Linear Equations by Iterative Methods -- 1. The main theorem -- 2. Preliminaries for the proof -- 3. Proof of the main theorem -- 4. Application to integral equations -- VIII. Further Developments of the Spectral Theorem -- 1.
Simultaneous diagonalization -- 2. Compact normal operators -- 3. Unitary operators -- 4. Characterizations of compact operators -- Exercises VIII -- IX. Banach Spaces -- 1. Definitions and examples -- 2. Finite dimensional normed
linear spaces -- 3. Separable Banach spaces and Schauder bases -- 4. Conjugate spaces -- 5. Hahn-Banach theorem -- Exercises IX -- X. Linear Operators on a Banach Space -- 1. Description of bounded operators -- 2. An approximation
scheme -- 3. Closed linear operators -- 4. Closed graph theorem and its applications -- 5. Complemented subspaces and projections -- 6. The spectrum of an operator -- 7. Volterra Integral Operator -- 8. Analytic operator valued
functions -- Exercises X -- XI. Compact Operators on a Banach Spaces -- 1. Examples of compact operators -- 2. Decomposition of operators of finite rank -- 3. Approximation by operators of finite rank -- 4. Fredholm theory of compact
operators -- 5. Conjugate operators on a Banach space -- 6. Spectrum of a compact operator -- 7. Applications -- Exercises XI -- XII. Non Linear Operators -- 1. Fixed point theorem -- 2. Applications of the contraction mapping theorem
-- 3. Generalizations -- Appendix 1. Countable Sets and Separable Hilbert Spaces -- Appendix 3. Proof of the Hahn-Banach Theorem -- Appendix 4. Proof of the Closed Graph Theorem -- Suggested Reading -- References
ISBN:9781461259855
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Operator theory , Applied mathematics , Engineering mathematics , Mathematics , Operator Theory , Functional Analysis , Applications of Mathematics , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2001-9781461201670:ONLINE Show nearby items on shelf
Title:Stochastics in Finite and Infinite Dimensions In Honor of Gopinath Kallianpur
Author(s):
Date:2001
Size:1 online resource (411 p.)
Note:10.1007/978-1-4612-0167-0
Contents:Precise Gaussian Lower Bounds on Heat Kernels -- Feynman Integrals Associated with Albeverio—Hoegh-Krohn and Laplace Transform Potentials -- Random Iteration of I.I.D. Quadratic Maps -- Monte Carlo Algorithms and Asymptotic Problems
in Nonlinear Filtering -- A Covariant Quantum Stochastic Dilation Theory -- Interacting Particle Filtering with Discrete-Time Observations: Asymptotic Behaviour in the Gaussian Case -- Hidden Markov Chain Filtering for Generalised
Bessel Processes -- On the Zakai Equation of Filtering with Gaussian Noise -- Prediction and Translation of Fractional Brownian Motions -- Time Maps in the Study of Feynman’s Operational Calculus via Wiener and Feynman Path Integrals
-- Two Applications of Reproducing Kernel Hilbert Spaces in Stochastic Analysis -- Stochastic Linear Controlled Systems with Quadratic Cost Revisited -- Numerical Solutions for a Class of SPDEs with Application to Filtering --
Nonlinear Diffusion Approximations of Queuing Networks -- On Equations of Stochastic Fluid Mechanics -- Infinite Level Asymptotics of a Perturbative Chern-Simons Integral -- Risk-Sensitive Dynamic Asset Management with Partial
Information -- Existence of a Strong Solution for an Integro-Differential Equation and Superposition of Diffusion Processes -- On the Consistency of the Maximum Likelihood Method in Testing Multiple Quantum Hypotheses -- Large
Deviations for Double Itô Equations -- The Domain of a Generator and the Intertwining Property
ISBN:9781461201670
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Probabilities , Statistics , Statistical Theory and Methods , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2000-9783540466147:ONLINE Show nearby items on shelf
Title:Light Scattering from Microstructures Lectures of the Summer School of Laredo, University of Cantabria, Held at Laredo, Spain, Sept. 11–13, 1998
Author(s):
Date:2000
Size:1 online resource (300 p.)
Note:10.1007/3-540-46614-2
Contents:Light scattering by submicron spherical particles on semiconductor surfaces -- to Light Scattering from Microstructures -- Theory -- Heaviside Operational Calculus and Electromagnetic Image Theory -- Mathematical Methods for Data
Inversion -- Mueller Matrices -- Scattering by Particles on Substrates. Numerical Methods -- Light Scattering from a Sphere Near a Plane Interface -- Electromagnetic Scattering by Cylindrical Objects on Generic Planar Substrates:
Cylindrical-Wave Approach -- T-Matrix Method for Light Scattering from a Particle on or Near an Infinite Surface -- Scattering of Polarized Light -- Properties of a Polarized Light-Beam Multiply Scattered by a Rayleigh Medium --
Polarization and Depolarization of Light -- Statistics of the Scattered Light -- Polarisation Fluctuations in Light Scattered by Small Particles -- Intensity Statistics of the Light Scattered by Particles on Surfaces -- Applications --
Microstructures in Rough Metal Surfaces: Electromagnetic Mechanism in Surface-Enhanced Raman Spectroscopy -- Light Scattering by Particles and Defects on Surfaces: Semiconductor Wafer Inspection -- From Scattering to Waveguiding:
Photonic Crystal Fibres -- The Angular Distribution of Light Emitted by Sonoluminescent Bubbles -- Light Scattering by Regular Particles on Flat Substrates
ISBN:9783540466147
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 534
Keywords: Materials science , Physics , Solid state physics , Spectroscopy , Microscopy , Nanotechnology , Materials Science , Nanotechnology , Solid State Physics , Spectroscopy and Microscopy , Physics, general
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Call number:SPRINGER-1999-9789401145770:ONLINE Show nearby items on shelf
Title:Analytic and Geometric Inequalities and Applications
Author(s):
Date:1999
Size:1 online resource (377 p.)
Note:10.1007/978-94-011-4577-0
Contents:Problem of Infimum in the Positive Cone -- Open Problems on Eigenvalues of the Laplacian -- On an Inequality of S. Bernstein and the Gauss-Lucas Theorem -- Second Order Opial Inequalities in Lp Spaces and Applications -- On
Multi-Dimensional Integral Inequalities and Applications -- Some Inequalities for Triangle: Old and New Results -- A Treatise on Grüss’ Inequality -- A?B?0Ensures (Br/2Ar/2Br/2)1/q ? (Br/2Br/2Br/2)1/q for r?0,p?0, q ? 1 with (1+r)q ? p
+ r and its Recent Applications -- Degree of Convergence for a Class of Linear Operators -- Some Comments and a Bibliography on the Laguerre-Samuelson Inequality with Extensions and Applications in Statistics and Matrix Theory --
Fractional Order Inequalities of Hardy Type -- Theory of Differential and Integral Inequalities with Initial Time Difference and Applications -- Numerical Radii of Some Companion Matrices and Bounds for the Zeros of Polynomials --
Bounds on Entropy Measures for Mixed Populations -- Extremal Problems and Inequalities of Markov-Bernstein Type for Polynomials -- On Alpha-Quasi-Convex Functions Defined by Convolution with Incomplete Beta Functions -- Fourth Order
Obstacle Boundary Value Problems -- On Some Generalized Opial Type Inequalities -- Controlling the Velocity of Brownian Motion by its Terminal Value -- Chebyshev Polynomials with Integer Coefficients -- Distortion Inequalities for
Analytic and Univalent Functions Associated with Certain Fractional Calculus and Other Linear Operators
ISBN:9789401145770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 478
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Functions of real variables , Special functions , Mathematics , Real Functions , Functions of a Complex Variable , Special Functions , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-1999-9781475729870:ONLINE Show nearby items on shelf
Title:Reproducing Kernels and their Applications
Author(s):
Date:1999
Size:1 online resource (235 p.)
Note:10.1007/978-1-4757-2987-0
ISBN:9781475729870
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 3
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Special functions , Mathematics , Functions of a Complex Variable , Special Functions , Partial Differential Equations , Integral Transforms, Operational Calculus , Functional Analysis
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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-1999-9781461205654:ONLINE Show nearby items on shelf
Title:Statistical Methods in Software Engineering Reliability and Risk
Author(s): Nozer D Singpurwalla
Date:1999
Size:1 online resource (297 p.)
Note:10.1007/978-1-4612-0565-4
Contents:1 Introduction and Overview -- 1.1 What is Software Engineering? -- 1.2 Uncertainty in Software Production -- 1.3 The Quantification of Uncertainty -- 1.4 The Role of Statistical Methods in Software Engineering -- 1.5 Chapter Summary
-- 2 Foundational Issues: Probability and Reliability -- 2.0 Preamble -- 2.1 The Calculus of Probability -- 2.2 Probability Models and Their Parameters -- 2.3 Point Processes and Counting Process Models -- 2.4 Fundamentals of
Reliability -- 2.5 Chapter Summary -- Exercises for Chapter 2 -- 3 Models for Measuring Software Reliability -- 3.1 Background: The Failure of Software -- 3.2 Models Based on the Concatenated Failure Rate Function -- 3.3 Models Based
on Failure Counts -- 3.4 Models Based on Times Between Failures -- 3.5 Unification of Software Reliability Models -- 3.6 An Adaptive Concatenated Failure Rate Model -- 3.7 Chapter Summary -- Exercises for Chapter 3 -- 4 Statistical
Analysis of Software Failure Data -- 4.1 Background: The Role of Failure Data -- 4.2 Bayesian Inference, Predictive Distributions, and Maximization of Likelihood -- 4.3 Specification of Prior Distributions -- 4.4 Inference and
Prediction Using a Hierarchical Model -- 4.5 Inference and Predictions Using Dynamic Models -- 4.6 Prequential Prediction, Bayes Factors, and Model Comparison -- 4.7 Inference for the Concatenated Failure Rate Model -- 4.8 Chapter
Summary -- Exercises for Chapter 4 -- 5 Software Productivity and Process Management -- 5.1 Background: Producing Quality Software -- 5.2 A Growth-Curve Model for Estimating Software Productivity -- 5.3 The Capability Maturity Model
for Process Management -- 5.4 Chapter Summary -- Exercises for Chapter 5 -- 6 The Optimal Testing and Release of Software -- 6.1 Background: Decision Making and the Calculus of Probability -- 6.2 Decision Making Under Uncertainty --
6.3 Utility and Choosing the Optimal Decision -- 6.4 Decision Trees -- 6.5 Software Testing Plans -- 6.6 Examples of Optimal Testing Plans -- 6.7 Application: Testing the NTDS Data -- 6.8 Chapter Summary -- Exercises for Chapter 6 -- 7
Other Developments: Open Problems -- 7.0 Preamble -- 7.1 Dynamic Modeling and the Operational Profile -- 7.2 Statistical Aspects of Software Testing: Experimental Designs -- 7.3 The Integration of Module and System Performance --
Appendices -- Appendix A Statistical Computations Using the Gibbs Sampler -- A.1 An Overview of the Gibbs Sampler -- A.2 Generating Random Variates The Rejection Method -- A.3 Examples: Using the Gibbs Sampler -- A.3.1 Gibbs Sampling
the Jelinski-Moranda Model -- A.3.2 Gibbs Sampling the Hierarchical Model -- A.3.3 Gibbs Sampling the Adaptive Kalman Filter Model -- A.3.4 Gibbs Sampling the Non-Gaussian Kalman Filter Model -- Appendix B The Maturity Questionnaire
and Responses -- B. 1 The Maturity Questionnaire -- B.2 Binary (Yes, No) Responses to the Maturity Questionnaire -- B.3 Prior Probabilities and Likelihoods -- References -- Author Index
ISBN:9781461205654
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Computer science , Software engineering , Statistics , Computer Science , Software Engineering/Programming and Operating Systems , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Software Engineering
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Call number:SPRINGER-1998-9789401150361:ONLINE Show nearby items on shelf
Title:Clifford Algebras and Their Application in Mathematical Physics Aachen 1996
Author(s):
Date:1998
Size:1 online resource (447 p.)
Note:10.1007/978-94-011-5036-1
Contents:Dirac Operators and Clifford Geometry — New Unifying Principles in Particle Physics ? -- On the Hayman uniqueness problem for polyharmonic functions -- Left-linear and Nonlinear Riemann problems in Clifford analysis -- Spin structures
and harmonic spinors on nonhyperelliptic Riemann surfaces of small genera -- Decomposition of analytic hyperbolically harmonic functions -- Spin Gauge Theories: A Summary -- Manifolds with and without embeddings -- Dirac equation in
the Clifford algebra of Space -- Dirac theory from a field theoretic point of view -- On some applications of the biharmonic equation -- Spinor Particle Mechanics -- Clifford analysis and elliptic boundary value problems in unbounded
domains -- Twistors and Clifford Algebras -- How Many Essentialy Different Function Theories Exist? -- Variational Property of the Peano Kernel for Harmonicity Differences of Order p -- Clifford Analysis on the Sphere -- Type-changing
transformations of pseudo-Euclidean Hurwitz pairs, Clifford Analysis, and particle lifetimes -- Modified quaternionic analysis in ?4 -- Geometric Algebra and Lobachevski Geometry -- Generalizing the (F,G)- derivative in the sense of
Bers -- Formes quadratiques de Hardy-Weinberg et algèbres de Clifford -- On Dirac equations in curved space-times -- Some Partial Differential Equations in Clifford Analysis -- Teaching Clifford Algebra as Physical Mathematics --
Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle -- Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum -- Higher Spin and the Spacetime Algebra -- Curved Radon
Transforms in Clifford Analysis -- On a class of non-linear boundary value problems -- Pin structures and the Dirac operator on real projective spaces and quadrics -- Construction of monopoles and instantons by using spinors and the
inversion theorem -- Determinants, Manifolds with Boundary and Dirac Operators -- New dynamical equations for many particle system on the basis of multicomplex algebra
ISBN:9789401150361
Series:eBooks
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Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 94
Keywords: Mathematics , Associative rings , Rings (Algebra) , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Mathematical logic , Mathematics , Functions of a Complex Variable , Mathematical Logic and Foundations , Associative Rings and Algebras , Integral Transforms, Operational Calculus , Partial Differential Equations
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Call number:SPRINGER-1998-9789400708525:ONLINE Show nearby items on shelf
Title:Advanced Integration Theory
Author(s): Corneliu Constantinescu
Date:1998
Size:1 online resource (876 p.)
Note:10.1007/978-94-007-0852-5
Contents:Suggestion to the Reader -- 0 Preliminaries -- Vector Lattices -- 1.1 Ordered Vector Spaces -- 1.2 Vector Lattices -- 1.3 Substructures, Quotients, Products -- 1.4 Bands and Orthogonality -- 1.5 Homomorphisms -- 1.6 The Order Dual of
a Vector Lattice -- 1.7 Continuous Functionals -- 1.8 Order and Topology -- 1.9 Metric Spaces and Banach Spaces -- 1.10 Banach Lattices -- 1.11 Hilbert Lattices -- 1.12 Lattice Products -- Elementary Integration Theory -- 2.1 Riesz
Lattices -- 2.2 Daniell Spaces -- 2.3 The Closure of a Daniell Space -- 2.4 The Integral for a Daniell Space -- 2.5 Systems of Sets, Step Functions, and Stone Lattices -- 2.6 Positive Measures -- 2.7 Closure, Completion, and Integrals
for Positive Measure Spaces -- 2.8 Measurable Spaces and Measurability -- 2.9 Measurability versus Integrability -- 2.10 Stieltjes Functionals and Stieltjes Measures. Lebesgue Measure -- 3 Lp-Spaces -- 3.1 Classes modulo ?, and
Convergence in Measure -- 3.2 The Hölder and Minkowski Inequalities and the Lp-Spaces -- 3.3 Lp-Spaces for 0< p< ? -- 3.4 Uniform integrability and the Generalized Lebesgue Convergence Theorem -- 3.5 Localization -- 3.6 Products and
Lp? -- Real Measures -- 4.1 Nullcontinuous Functionals -- 4.2 Real Measures and Spaces of Real Measures -- 4.3 Integrals for Real Measures -- 4.4 Bounded Measures -- 4.5 Atomic and Atomless Measures -- The Radon-Nikodym Theorem.
Duality -- 5.1 Absolute Continuity -- 5.2 The Theorem of Radon-Nikodym -- 5.3 Duality for Function Spaces -- 6 The Classical Theory of Real Functions -- 6.1 Functions of Locally Finite Variation -- 6.2 Real Stieltjes Measures -- 6.3
Absolutely Continuous Functions -- 6.4 Vitali?s Covering Theorem -- 6.5 Differentiable Functions -- 6.6 Spaces of Multiply Differentiable Functions -- 6.7 Riemann-Stieltjes Integrals -- Historical Remarks -- Name Index -- Symbol Index
ISBN:9789400708525
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 454
Keywords: Mathematics , Algebra , Ordered algebraic structures , Integral transforms , Operational calculus , Measure theory , Functions of real variables , Probabilities , Mathematics , Measure and Integration , Order, Lattices, Ordered Algebraic Structures , Real Functions , Probability Theory and Stochastic Processes , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1998-9783540697022:ONLINE Show nearby items on shelf
Title:Integral Geometry, Radon Transforms and Complex Analysis Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venice, Italy, June 3–12, 1996
Author(s): Carlos A Berenstein
Date:1998
Size:1 online resource (170 p.)
Note:10.1007/BFb0096088
Contents:Randon transforms, wavelets, and applications -- Holomorphic mappings between real analytic submanifolds in complex space -- Real integral geometry and complex analysis -- Radon transforms and wave equations -- Analytic discs and the
extendibility of CR functions
ISBN:9783540697022
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1684
Keywords: Mathematics , Integral transforms , Operational calculus , Differential geometry , Mathematics , Integral Transforms, Operational Calculus , Differential Geometry
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Call number:SPRINGER-1998-9781461206330:ONLINE Show nearby items on shelf
Title:Analytical and Computational Methods of Advanced Engineering Mathematics
Author(s): Grant B Gustafson
Date:1998
Size:1 online resource (733 p.)
Note:10.1007/978-1-4612-0633-0
Contents:1 Numerical Analysis -- 1.1 The Nature of Numerical Analysis -- 1.2 Polynomial Interpolation -- 1.3 Numerical Integration and Differentiation -- 1.4 Solution of Equations -- 1.5 Inverse Functions -- 1.6 Implicit Functions -- 1.7
Numerical Summation of Infinite Series -- 2 Ordinary Differential Equations of First Order -- 2.1 The Nature of Differential Equations -- 2.2 Separable Equations -- 2.3 Linear First-Order Equations -- 2.4 Exact Equations -- 2.5
Applications to Some Second-Order Equations -- 2.6 The Initial Value Problem -- 2.7 Numerical Methods for the Initial Value Problem -- 3 Ordinary Differential Equations of Higher Order -- 3.1 Examples from Engineering and Physics --
3.2 Linear Second-Order Equations — Structure of Solutions -- 3.3 Linear Second-Order Equations with Constant Coefficients -- 3.4 Linear Second-Order Equations with Analytic Coefficients -- 3.5 Numerical Methods for Second-Order
Equations -- 3.6 Linear Equations of Order n > 2 -- 4 The Laplace Transform -- 4.1 The Nature of the Laplace Transform -- 4.2 The Laplace Transforms of Some Elementary Functions -- 4.3 Operational Rules for the Laplace Transform -- 4.4
Applications to Differential Equations -- 4.5 Applications to Systems of Differential Equations -- 5 Linear Algebra -- 5.1 Systems of Linear Equations -- 5.2 The Gauss Elimination Method -- 5.3 Vector Spaces -- 5.4 Matrices and Matrix
Algebra -- 5.5 The Fundamental Theorem of Linear Algebra -- 5.6 Determinants and Cramer’s Rule -- 5.7 Eigenvalues and Eigenvectors -- 6 Vector Analysis -- 6.1 Vector Algebra -- 6.2 Vector Calculus of Curves in Space -- 6.3 Vector
Calculus of Surfaces in Space -- 6.4 Calculus of Scalar and Vector Fields -- 6.5 Integral Theorems of Vector Calculus -- 6.6 X-Ray Diffraction and Crystal Structure -- 7 Partial Differential Equations of Mathematical Physics -- 7.1
Vibrating Strings: D’Alembert’s Wave Equation -- 7.2 Heat Diffusion in Rods: Fourier’s Heat Equation -- 7.3 Heat Diffusion in Plates -- 7.4 Steady-State Heat Diffusion in Plates: The Laplace Equation -- 7.5 Vibrations of Drums -- 7.6
Heat Diffusion in Solids -- 7.7 Steady-State Heat Diffusion in Solids -- 8 Fourier Analysis and Sturm-Liouville Theory -- 1 Fourier Series -- II Fourier Integrals -- III Sturm-Liouville Theory -- 9 Boundary Value Problems of
Mathematical Physics -- 9.1 Heat Diffusion in One Dimension -- 9.2 Vibration of Strings and Traveling Waves -- 9.3 Steady-State Diffusion of Heat in Plates -- 9.4 Transient Diffusion of Heat in Plates -- 9.5 Vibrations of Drums -- 9.6
Steady-State Diffusion of Heat in Solids -- 9.7 The Laplace Transform Method -- Appendix: Answers and Hints to Selected Exercises -- References
ISBN:9781461206330
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in Applied Mathematics: 28
Keywords: Engineering , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Computer mathematics , Engineering , Appl.Mathematics/Computational Methods of Engineering , Applications of Mathematics , Analysis , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-1998-9780387225869:ONLINE Show nearby items on shelf
Title:Several Complex Variables and Banach Algebras
Author(s): Herbert Alexander
Date:1998
Edition:Third Edition
Publisher:New York, NY : Springer New York
Size:1 online resource (256 p.)
Note:10.1007/b97591
Contents:Preliminaries and Notation -- Classical Approximation Theorems -- Operational Calculus in One Variable -- Differential Forms -- The -Operator -- The Equation -- The Oka-Weil Theorem -- Operational Calculus in Several Variables -- The
Šilov Boundary -- Maximality and Radó’s Theorem -- Maximum Modulus Algebras -- Hulls of Curves and Arcs -- Integral Kernels -- Perturbations of the Stone?Weierstrass Theorem -- The First Cohomology Group of a Maximal Ideal Space -- The
-Operator in Smoothly Bounded Domains -- Manifolds Without Complex Tangents -- Submanifolds of High Dimension -- Boundaries of Analytic Varieties -- Polynomial Hulls of Sets Over the Circle -- Areas -- Topology of Hulls -- Pseudoconvex
sets in ?n -- Examples -- Historical Comments and Recent Developments -- Solutions to Some Exercises
ISBN:9780387225869
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 35
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1997-9789401156264:ONLINE Show nearby items on shelf
Title:Microlocal Analysis and Spectral Theory
Author(s):
Date:1997
Size:1 online resource (444 p.)
Note:10.1007/978-94-011-5626-4
Contents:Linear Partial Differential Equations with Multiple Involutive Characteristics -- Gevrey and Analytic Hypoellipticity -- Higher Microlocalization and Propagation of Singularities -- Conormality and Lagrangian Properties in Diffractive
Boundary Value Problems -- Parametrized Pseudodifferential Operators and Geometric Invariants -- Boundary Value Problems and Edge Pseudo-differential Operators -- Wodzicki’s Noncommutative Residue and Traces for Operator Algebras on
Manifolds with Conical Singularities -- Lower Bounds for Pseudodifferential Operators -- Weyl Formula For Globally Hypoelliptic Operator in Rn -- Splitting in large dimension and infrared estimates -- Microlocal Exponential Estimates
and Applications to Tunneling -- A trace formula and review of some estimates for resonances
ISBN:9789401156264
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 490
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Quantum physics , Mathematics , Partial Differential Equations , Global Analysis and Analysis on Manifolds , Quantum Physics , Operator Theory , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1997-9781461241300:ONLINE Show nearby items on shelf
Title:Fractional Analysis Methods of Motion Decomposition
Author(s): Igor V Novozhilov
Date:1997
Size:1 online resource (232 p.)
Note:10.1007/978-1-4612-4130-0
Contents:I Dimensional analysis and small parameters -- 1 Dimensional analysis -- 2 Introduction of small parameters -- II Regularly perturbed systems. Expansions of solutions -- 3 The Poincaré theorem. The algorithm of expansion -- 4
Applications of the Poincaré theorem -- 5 Poincaré - Lyapunov method -- 5.1 Algorithm of the method -- 5.2 Examples. Nonisochronism of nonlinear system oscillations -- III Decomposition of motion in systems with fast phase -- 6 Method
of averaging in systems with a single fast phase -- 7 Applications of the method of averaging -- 8 Method of harmonic linearization -- 9 Method of averaging in systems with several fast phases -- 10 Averaging in systems without
explicit periodicities -- IV Decomposition of motion in systems with boundary layer -- 11 Tikhonov theorem -- 12 Application of the Tikhonov theorem -- 13 Asymptotic expansion of solutions for systems with a boundary layer -- V
Decomposition of motion in systems with discontinuous characteristics -- 14 Definition of a solution in discontinuity points -- 15 Examples -- VI Correctness of limit models -- 16 Limit model of holonomic constraint (absolutely rigid
body) -- 17 Limit model of kinematic constraints -- 18 Limit model of servoconstraint -- 19 Precession and nutation models in gyro theory -- 20 Mathematical model of a “man — artificial-kidney” system -- 21 Approximate models of an
aircraft motion -- 22 Automobile motion decomposition -- References -- Author Index
ISBN:9781461241300
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Fourier analysis , Integral transforms , Operational calculus , Functions of real variables , Applied mathematics , Engineering mathematics , Physics , Mechanical engineering , Mathematics , Fourier Analysis , Applications of Mathematics , Mechanical Engineering , Mathematical Methods in Physics , Real Functions , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1996-9789401154246:ONLINE Show nearby items on shelf
Title:Distortion Theorems in Relation to Linear Integral Operators
Author(s): Yûsaku Komatu
Date:1996
Size:1 online resource (312 p.)
Note:10.1007/978-94-011-5424-6
Contents:0. Introduction -- § 1. Overview -- I. Integral Operators -- 1. Basic integral operators -- 2. Properties of integral operators -- 3. Applications -- II. Distortion Theorems -- 4. Distortions on univalent functions -- 5. Distortions
on real part -- 6. Distortions on miscellaneous functionals -- References -- Index of names -- Index of topics — containing symbols
ISBN:9789401154246
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 385
Keywords: Mathematics , Functions of complex variables , Integral transforms , Operational calculus , Operator theory , Mathematics , Functions of a Complex Variable , Integral Transforms, Operational Calculus , Operator Theory
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Call number:SPRINGER-1996-9789400902831:ONLINE Show nearby items on shelf
Title:Trigonometric Fourier Series and Their Conjugates
Author(s): Levan Zhizhiashvili
Date:1996
Size:1 online resource (308 p.)
Note:10.1007/978-94-009-0283-1
Contents:Preface -- 1 Simple Trigonometric Series -- I. The Conjugation Operator and the Hilbert Transform -- II. Pointwise Convergence and Summability of Trigonometric Series -- III. Convergence and Summability of Trigonometric Fourier Series
and Their Conjugates in the Spaces $$L^p \left( T \right),p \in \left] {0, + \infty } \right[$$ -- IV. Some Approximating Properties of Cesaro Means of the Series $$ \sigma \left[ f \right] $$ and $$ \bar \sigma \left[ f \right] $$ --
2 Multiple Trigonometric Series -- I. Conjugate Functions and Hilbert Transforms of Functions of Several Variables -- II. Convergence and Summability at a Point or Almost Everywhere of Multiple Trigonometric Fourier Series and Their
Conjugates -- III. Some Approximating Properties of n-Fold Cesaro Means of the Series $$ \sigma _n \left[ f \right] $$ and $$ \sigma _n \left[ {f,B} \right] $$ -- IV. Convergence and Summability of Multiple Trigonometric Fourier Series
and Their Conjugates in the Spaces $$ L^p \left( {T^n } \right),p \in \left] {0, + \infty } \right] $$ -- V. Summability of Series $$ \sigma _2 \left[ f \right] $$ and $$ \bar \sigma _2 \left[ {f,B} \right] $$ by a Method of the
Marcinkiewicz Type
ISBN:9789400902831
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 372
Keywords: Mathematics , Approximation theory , Fourier analysis , Integral transforms , Operational calculus , Functions of real variables , Sequences (Mathematics) , Mathematics , Fourier Analysis , Approximations and Expansions , Integral Transforms, Operational Calculus , Sequences, Series, Summability , Real Functions
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Call number:SPRINGER-1996-9789400901575:ONLINE Show nearby items on shelf
Title:Algebraic Structures and Operator Calculus Volume III: Representations of Lie Groups
Author(s): Philip Feinsilver
Date:1996
Size:1 online resource (230 p.)
Note:10.1007/978-94-009-0157-5
Contents:I. General remarks -- II. Notations -- III. Lie algebras: some basics -- 1 Operator calculus and Appell systems -- I. Boson calculus -- II. Holomorphic canonical calculus -- III. Canonical Appell systems -- 2 Representations of Lie
groups -- I. Coordinates on Lie groups -- II. Dual representations -- III. Matrix elements -- IV. Induced representations and homogeneous spaces -- 3 General Appell systems -- I. Convolution and stochastic processes -- II. Stochastic
processes on Lie groups -- III. Appell systems on Lie groups -- 4 Canonical systems in several variables -- I. Homogeneous spaces and Cartan decompositions -- II. Induced representation and coherent states -- III. Orthogonal
polynomials in several variables -- 5 Algebras with discrete spectrum -- I. Calculus on groups: review of the theory -- II. Finite-difference algebra -- III. q-HW algebra and basic hypergeometric functions -- IV. su2 and Krawtchouk
polynomials -- V. e2 and Lommel polynomials -- 6 Nilpotent and solvable algebras -- I. Heisenberg algebras -- II. Type-H Lie algebras -- III. Upper-triangular matrices -- IV. Affine and Euclidean algebras -- 7 Hermitian symmetric
spaces -- I. Basic structures -- II. Space of rectangular matrices -- III. Space of skew-symmetric matrices -- IV. Space of symmetric matrices -- 8 Properties of matrix elements -- I. Addition formulas -- II. Recurrences -- III.
Quotient representations and summation formulas -- 9 Symbolic computations -- I. Computing the pi-matrices -- II. Adjoint group -- III. Recursive computation of matrix elements -- IV. Symbolic computation of Appell systems -- MAPLE
output and procedures -- References
ISBN:9789400901575
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 347
Keywords: Mathematics , Computer science , Computers , Nonassociative rings , Rings (Algebra) , Integral transforms , Operational calculus , Operator theory , Special functions , Mathematics , Special Functions , Computer Science, general , Theory of Computation , Integral Transforms, Operational Calculus , Operator Theory , Non-associative Rings and Algebras
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Call number:SPRINGER-1996-9781475756579:ONLINE Show nearby items on shelf
Title:Linear Difference Equations with Discrete Transform Methods
Author(s): Abdul J Jerri
Date:1996
Size:1 online resource (442 p.)
Note:10.1007/978-1-4757-5657-9
Contents:1 Sequences and Difference Operators -- 2 Sum Calculus and the Discrete Transforms Methods -- 3 Basic Methods of Solving Linear Difference Equations -- 4 Discrete Fourier Transforms -- 5 The Discrete Sine (DST) and Cosine (DCT)
Transforms for Boundary Value Problems -- 6 The z-Transform for Initial Value Problems -- 7 Modeling with Difference Equations -- References -- Answers to Exercises -- Index of Notations
ISBN:9781475756579
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 363
Keywords: Mathematics , Difference equations , Functional equations , Integral transforms , Operational calculus , Computer mathematics , Mathematical models , Mathematics , Difference and Functional Equations , Computational Mathematics and Numerical Analysis , Integral Transforms, Operational Calculus , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-1996-9781461312833:ONLINE Show nearby items on shelf
Title:Integral Transformations, Operational Calculus, and Generalized Functions
Author(s): R. G Buschman
Date:1996
Size:1 online resource (240 p.)
Note:10.1007/978-1-4613-1283-3
ISBN:9781461312833
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 377
Keywords: Mathematics , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1995-9789401585774:ONLINE Show nearby items on shelf
Title:Approximation Theory, Wavelets and Applications
Author(s):
Date:1995
Size:1 online resource (572 p.)
Note:10.1007/978-94-015-8577-4
Contents:A Class of Interpolating Positive Linear Operators: Theoretical and Computational Aspects -- Quasi-Interpolaton -- Approximation and Interpolation on Spheres -- Exploring Covariance, Consistency and Convergence in Pade Approximation
Theory -- Dykstra’s Cyclic Projections Algorithm: The Rate of Convergence -- Interpolation From a Convex Subset of Hilbert Space: A Survey of Some Recent Results -- The Angle Between Subspaces of a Hilbert Space -- Neville Elimination
and Approximation Theory -- Approximation With Weights, the Chebyshev Measure and the Equilibrium Measure -- A One-Parameter Class of B-Splines -- Interpolation on the Triangle and Simplex -- Knot Removal for Scattered Data -- Error
Estimates for Approximation by Radial Basic Functions -- Wavelets on the Interval -- Best Approximations and Fixed Point Theorems -- How to Approximate the Inverse Operator -- On Some Averages of Trigonometric Interpolating Operators
-- On the Zeros Localization of K > 2 Consecutive Orthogonal Polynomials and of Their Derivatives -- Can Irregular Subdivisions Preserve Convexity? -- On Functions Approximation by Shepard-Type Operators — A Survey -- Wavelet
Respresentation of the Potential Integral Equations -- Liapunov Theorem in Approximation Theory -- On the Order Monotonicity of the Metric Projection Operator -- Pointwise Estimates for Multivariate Interpolation Using Conditionally
Positive Definite Functions -- Experiments With a Wavelet Based Image Denoising Method -- Proximity Maps: Some Continuity Results -- Non-Smooth Wavelets: Graphing Functions Unbounded on Every Interval -- On the Possible Wavelet Packets
Orthonormal Bases -- A Case Study in Multivariate Lagrange Interpolation -- Trigonometric Wavelets for Time-Frequency-Analysis -- Interpolating Subspaces in Rn -- Multivariate Periodic Interpolating Wavelets -- Finite Element
Multiwavelets -- Polynomial Wavelets on [-1,1] -- On the Solution of Discretely Given Fredholm Integral Equations Over Lines -- De-Noising Using Wavelets and Cross Validation -- On the Construction of Two Dimensional Spatial Varying
FIR Filter Banks With Perfect Reconstruction -- Recursions for Tchebycheff B-Splines and Their Jumps -- Quasi-Interpolation on Compact Domains -- Eigenvalues and Nonlinear Volterra Equations
ISBN:9789401585774
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO Science Series, Series C: Mathematical and Physical Sciences: 454
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Functional analysis , Integral transforms , Operational calculus , Operator theory , Mathematics , Approximations and Expansions , Analysis , Mathematics, general , Integral Transforms, Operational Calculus , Functional Analysis , Operator Theory
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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-1995-9789401102131:ONLINE Show nearby items on shelf
Title:Ramified Integrals, Singularities and Lacunas
Author(s): V. A Vassiliev
Date:1995
Size:1 online resource (294 p.)
Note:10.1007/978-94-011-0213-1
Contents:I. Picard—Lefschetz—Pham theory and singularity theory -- § 1. Gauss-Manin connection in the homological bundles. Monodromy and variation operators -- § 2. The Picard-Lefschetz formula. The Leray tube operator -- § 3. Local monodromy
of isolated singularities of holomorphic functions -- § 4. Intersection form and complex conjugation in the vanishing homology of real singularities in two variables -- § 5. Classification of real and complex singularities of functions
-- § 6. Lyashko-Looijenga covering and its generalizations -- § 7. Complements of discriminants of real simple singularities (after E. Looijenga) -- § 8. Stratifications. Semialgebraic, semianalytic and subanalytic sets -- § 9. Pham’s
formulae -- § 10. Monodromy of hyperplane sections -- § 11. Stabilization of local monodromy and variation of hyperplane sections close to strata of positive dimension (stratified Picard-Lefschetz theory) -- § 12. Homology of local
systems. Twisted Picard-Lefschetz formulae -- § 13. Singularities of complete intersections and their local monodromy groups -- II. Newton’s theorem on the nonintegrability of ovals -- § 1. Stating the problems and the main results --
§ 2. Reduction of the integrability problem to the (generalized) PicardLefschetz theory -- § 3. The element “cap” -- § 4. Ramification of integration cycles close to nonsingular points. Generating functions and generating families of
smooth hypersurfaces -- § 5. Obstructions to integrability arising from the cuspidal edges. Proof of Theorem 1.8 -- § 6. Obstructions to integrability arising from the asymptotic hyperplanes. Proof of Theorem 1.9 -- § 7. Several open
problems -- III. Newton’s potential of algebraic layers -- § 1. Theorems of Newton and Ivory -- § 2. Potentials of hyperbolic layers are polynomial in the hyperbolicity domains (after Arnold and Givental) -- § 3. Proofs of Main
Theorems 1 and 2 -- § 4. Description of the small monodromy group -- § 5. Proof of Main Theorem 3 -- IV. Lacunas and the local Petrovski$$ \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{I} $$ condition for hyperbolic
differential operators with constant coefficients -- § 0. Hyperbolic polynomials -- § 1. Hyperbolic operators and hyperbolic polynomials. Sharpness, diffusion and lacunas -- § 2. Generating functions and generating families of wave
fronts for hyperbolic operators with constant coefficients. Classification of the singular points of wave fronts -- § 3. Local lacunas close to nonsingular points of fronts and to singularities A2, A3 (after Davydova, Borovikov and
Gárding) -- § 4. Petrovskii and Leray cycles. The Herglotz-Petrovskii—Leray formula and the Petrovskii condition for global lacunas -- § 5. Local Petrovskii condition and local Petrovskii cycle. The local Petrovskii condition implies
sharpness (after Atiyah, Bott and Gárding) -- § 6. Sharpness implies the local Petrovskii condition close to discrete-type points of wave fronts of strictly hyperbolic operators -- § 7. The local Petrovskii condition may be stronger
than the sharpness close to singular points not of discrete type -- § 8. Normal forms of nonsharpness close to singularities of wave fronts (after A.N. Varchenko) -- § 9. Several problems -- V. Calculation of local Petrovski$$
\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{I} $$ cycles and enumeration of local lacunas close to real function singularities -- § 1. Main theorems -- § 2. Local lacunas close to singularities from the
classification tables -- § 3. Calculation of the even local Petrovskii class -- § 4. Calculation of the odd local Petrovskii class -- § 5. Stabilization of the local Petrovskii classes. Proof of Theorem 1.5 -- § 6. Local lacunas close
to simple singularities -- § 7. Geometrical criterion for sharpness close to simple singularities -- § 8. A program for counting topologically different morsifications of a real singularity -- § 9. More detailed description of the
algorithm -- Appendix: a FORTRAN program searching for the lacunas and enumerating the morsifications of real function singularities
ISBN:9789401102131
Series:eBooks
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Series:Mathematics and Its Applications : 315
Keywords: Mathematics , Algebraic geometry , Integral transforms , Operational calculus , Partial differential equations , Potential theory (Mathematics) , Manifolds (Mathematics) , Complex manifolds , Mathematics , Integral Transforms, Operational Calculus , Algebraic Geometry , Partial Differential Equations , Manifolds and Cell Complexes (incl. Diff.Topology) , Potential Theory
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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
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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-1995-9781461242062:ONLINE Show nearby items on shelf
Title:Delay Equations Functional-, Complex-, and Nonlinear Analysis
Author(s): Odo Diekmann
Date:1995
Size:1 online resource (536 p.)
Note:10.1007/978-1-4612-4206-2
Contents:0 Introduction and preview -- 0.1 An example of a retarded functional differential equation -- 0.2 Solution operators -- 0.3 Synopsis -- 0.4 A few remarks on history -- I Linear autonomous RFDE -- I.1 Prelude: a motivated introduction
to functions of bounded variation -- I.2 Linear autonomous RFDE and renewal equations -- I.3 Solving renewal equations by Laplace transformation -- I.4 Estimates for det ?(z) and related quantities -- I.5 Asymptotic behaviour for t ? ?
-- I.6 Comments -- II The shift semigroup -- II.1 Introduction -- II.2 The prototype problem -- II.3 The dual space -- II.4 The adjoint shift semigroup -- II.5 The adjoint generator and the sun subspace -- II.6 The prototype system --
II.7 Comments -- III Linear RFDE as bounded perturbations -- III.1 The basic idea, followed by a digression on weak* integration -- III.2 Bounded perturbations in the sun-reflexive case -- III.3 Perturbations with finite dimensional
range -- III.4 Back to RFDE -- III.5 Interpretation of the adjoint semigroup -- III.6 Equivalent description of the dynamics -- III.7 Complexification -- III.8 Remarks about the non-sun-reflexive case -- III.9 Comments -- IV Spectral
theory -- IV.1 Introduction -- IV.2 Spectral decomposition for eventually compact semigroups -- IV.3 Delay equations -- IV.4 Characteristic matrices, equivalence and Jordan chains -- IV.5 The semigroup action on spectral subspaces for
delay equations -- IV.6 Comments -- V Completeness or small solutions? -- V.l Introduction -- V.2 Exponential type calculus -- V.3 Completeness -- V.4 Small solutions -- V.5 Precise estimates for ??(z)-1? -- V.6 Series expansions --
V.7 Lower bounds and the Newton polygon -- V.8 Noncompleteness, series expansions and examples -- V.9 Arbitrary kernels of bounded variation -- V.10 Comments -- VI Inhomogeneous linear systems -- VI.1 Introduction -- VI.2 Decomposition
in the variation-of-constants formula -- VI.3 Forcing with finite dimensional range -- VI.4 RFDE -- VI.5 Comments -- VII Semiflows for nonlinear systems -- VII.1 Introduction -- VII.2 Semiflows -- VII.3 Solutions to abstract integral
equations -- VII.4 Smoothness -- VII.5 Linearization at a stationary point -- VII.6 Autonomous RFDE -- VII.7 Comments -- VIII Behaviour near a hyperbolic equilibrium -- VIII.1 Introduction -- VIII.2 Spectral decomposition -- VIII.3
Bounded solutions of the inhomogeneous linear equation -- VIII.4 The unstable manifold -- VIII.5 Invariant wedges and instability -- VIII.6 The stable manifold -- VIII.7 Comments -- IX The center manifold -- IX.1 Introduction -- IX.2
Spectral decomposition -- IX.3 Bounded solutions of the inhomogeneous linear equation -- IX.4 Modification of the nonlinearity -- IX.5 A Lipschitz center manifold -- IX.6 Contractions on embedded Banach spaces -- IX.7 The center
manifold is of class Ck -- IX.8 Dynamics on and near the center manifold -- IX.9 Parameter dependence -- IX.10 A double eigenvalue at zero -- IX.11 Comments -- X Hopf bifurcation -- X.l Introduction -- X.2 The Hopf bifurcation theorem
-- X.3 The direction of bifurcation -- X.4 Comments -- XI Characteristic equations -- XI.1 Introduction: an impressionistic sketch -- XI.2 The region of stability in a parameter plane -- XI.3 Strips -- XI.4 Case studies -- XI.5
Comments -- XII Time-dependent linear systems -- XII.1 Introduction -- XII.2 Evolutionary systems -- XII.3 Time-dependent linear RFDE -- XII.4 Invariance of X?: a counterexample and a sufficient condition -- XII.5 Perturbations with
finite dimensional range -- XII.6 Comments -- XIII Floquet Theory -- XIII.1 Introduction -- XIII.2 Preliminaries on periodicity and a stability result -- XIII.3 Floquet multipliers -- XIII.4 Floquet representation on eigenspaces --
XIII.5 Comments -- XIV Periodic orbits -- XIV.1 Introduction -- XIV.2 The Floquet multipliers of a periodic orbit -- XIV.3 Poincaré maps -- XIV.4 Poincaré maps and Floquet multipliers -- XIV.5 Comments -- XV The prototype equation for
delayed negative feedback: periodic solutions -- XV.1 Delayed feedback -- XV.2 Smoothness and oscillation of solutions -- XV.3 Slowly oscillating solutions -- XV.4 The a priori estimate for unstable behaviour -- XV.5 Slowly oscillating
solutions which grow away from zero, periodic solutions -- XV.6 Estimates, proof of Theorem 5.5(i) and (iii) -- XV.7 The fixed-point index for retracts in Banach spaces, Whyburn’s lemma -- XV.8 Proof of Theorem 5.5(ii) and (iv) -- XV.9
Comments -- XVI On the global dynamics of nonlinear autonomous differential delay equations -- XVI.1 Negative feedback -- XVI.2 A limiting case -- XVI.3 Chaotic dynamics in case of negative feedback -- XVI.4 Mixed feedback -- XVI.5
Some global results for general autonomous RFDE -- Appendices -- I Bounded variation, measure and integration -- I.1 Functions of bounded variation -- I.2 Abstract integration -- II Introduction to the theory of strongly continuous
semigroups of bounded linear operators and their adjoints -- II. 1 Strongly continuous semigroups -- II.2 Interlude: absolute continuity -- II.3 Adjoint semigroups -- II.4 Spectral theory and asymptotic behaviour -- III The operational
calculus -- III.1 Vector-valued functions -- III.2 Bounded operators -- III.3 Unbounded operators -- IV Smoothness of the substitution operator -- V Tangent vectors, Banach manifolds and transversality -- V.1 Tangent vectors of subsets
of Banach spaces -- V.2 Banach manifolds -- V.3 Submanifolds and transversality -- VI Fixed points of parameterized contractions -- VII Linear age-dependent population growth: elaboration of some of the exercises -- VIII The Hopf
bifurcation theorem -- References -- List of symbols -- List of notation
ISBN:9781461242062
Series:eBooks
Series:SpringerLink (Online service)
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Series:Applied Mathematical Sciences: 110
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Dynamics , Ergodic theory , Mathematics , Mathematics , Analysis , Mathematics Education , Dynamical Systems and Ergodic Theory
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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-1994-9789401583602:ONLINE Show nearby items on shelf
Title:Stability Theorems in Geometry and Analysis
Author(s): Yu. G Reshetnyak
Date:1994
Size:1 online resource (394 p.)
Note:10.1007/978-94-015-8360-2
Contents:1. Introduction -- 2. Möbius Transformations -- 3. Integral Representations and Estimates for Differentiable Functions -- 4. Stability in Liouville’s Theorem on Conformal Mappings in Space -- 5. Stability of Isometric Transformations
of the Space ?n -- 6. Stability in Darboux’s Theorem -- 7. Differential Properties of Mappings with Bounded Distortion and Conformal Mappings of Riemannian Spaces -- References
ISBN:9789401583602
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 304
Keywords: Mathematics , Topological groups , Lie groups , Integral equations , Integral transforms , Operational calculus , Geometry , Calculus of variations , Mathematics , Integral Transforms, Operational Calculus , Integral Equations , Geometry , Calculus of Variations and Optimal Control Optimization , Topological Groups, Lie Groups
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Call number:SPRINGER-1994-9789401111966:ONLINE Show nearby items on shelf
Title:The Hypergeometric Approach to Integral Transforms and Convolutions
Author(s): Semen B Yakubovich
Date:1994
Size:1 online resource (324 p.)
Note:10.1007/978-94-011-1196-6
Contents:1 Preliminaries -- 1.1 Some special functions -- 1.2 Integral transforms -- 2 Mellin Convolution Type Transforms With Arbitrary Kernels -- 2.1 General Fourier kernels -- 2.2 Examples of the Fourier kernels -- 2.3 Watson type kernels
-- 2.4 Bilateral Watson transforms -- 2.5 Multidimensional Watson transforms -- 3 H- and G-transforms -- 3.1 Mellin convolution type transform with Fox’s H-function as a kernel -- 3.2 Mellin convolution type transforms with Meijer’s
G-function as a kernel -- 3.3 The Erdelyi-Kober fractional integration operators -- 4 The Generalized H- and G-transforms -- 4.1 The generalized H-transform -- 4.2 The generalized G-transform -- 4.3 Composition structure of generalized
H- and G-transforms -- 5 The Generating Operators of Generalized H-transforms -- 5.1 Generating operators in the space ?Mc,??1 -- 5.2 Examples of the generating operators -- 6 The Kontorovich-Lebedev Transform -- 6.1 The
Kontorovich-Lebedev transform: notion, existence and inversion theorems in Mc,??1 (L) spaces -- 6.2 The Kontorovich-Lebedev transform in weighted L-spaces -- 6.3 The Kontorovich-Lebedev transform in weighted L2 spaces -- 6.4 The
Kontorovich-Lebedev transform of distributions -- 6.5 The Kontorovich-Lebedev transform in Lp-spaces -- 7 General W-transform and its Particular Cases -- 7.1 General G-transform with respect to an index of the Kontorovich-Lebedev type
-- 7.2 General W-transform and its composition structure -- 7.3 Some particular cases of W-transform and their properties -- 7.4 F3-transform -- 7.5 L2-theory of the Kontorovich-Lebedev type index transforms -- 8 Composition Theorems
of Plancherel Type for Index Transforms -- 8.1 Compositions with symmetric weight -- 8.2 Compositions with non-symmetric weight -- 8.3 Constructions of index transforms in terms of Mellin integrals -- 9 Some Examples of Index
Transforms and Their New Properties -- 9.1 The Kontorovich-Lebedev like composition transforms -- 9.2 Some index transforms with symmetric kernels -- 9.3 The $$ \Re $$ and $$ \Im - $$ index transforms -- 10 Applications to Evaluation
of Index Integrals -- 10.1 Some useful representations and identities -- 10.2 Some general index integrals -- 11 Convolutions of Generalized H-transforms -- 11.1 H-convolutions -- 11.2 Examples of H-convolutions -- 12 Generalization of
the Notion of Convolution -- 12.1 Generalized H-convolutions -- 12.2 Generalized G-convolutions -- 13 Leibniz Rules and Their Integral Analogues -- 13.1 General Leibniz rules -- 13.2 Modified Leibniz rule -- 13.3 Leibniz rule for the
Erdelyi-Kober fractional differential operator -- 13.4 Modification of the Leibniz rule for the Erdelyi-Kober fractional differential operator -- 13.5 Integral analogues of Leibniz rules -- 14 Convolutions of Generating Operators --
14.1 Convolutions in the Dimovski sense. General results -- 14.2 Examples of convolutions in the Dimovski sense -- 15 Convolution of the Kontorovich-Lebedev Transform -- 15.1 Definition and some properties of a convolution for the
Kontorovich-Lebedev transform -- 15.2 The basic property of convolution. Analogues with the Parseval equality -- 15.3 On the inversion of the Kontorovich-Lebedev transform in the ring L? -- 15.4 The space L? as the commutative normed
ring of functions with exponential growth -- 16 Convolutions of the General Index Transforms -- 16.1 Convolutions of the Kontorovich-Lebedev type transforms -- 16.2 The convolutions for the Mehler-Fock and the Lebedev-Skalskaya
transforms -- 16.3 The convolution of the Wimp-Yakubovich type index transform -- 17 Applications of the Kontorovich-Lebedev type Convolutions to Integral Equations -- 17.1 Kontorovich-Lebedev convolution equations of the second kind
-- 17.2 General composition convolution equations -- 17.3 Some results on the homogeneous equation -- 18 Convolutional Ring C? -- 18.1 Multiple Erdelyi-Kober fractional integrodifferential operators -- 18.2 Convolutional ring C? -- 19
The Fields of the Convolution Quotients -- 19.1 Extension of the ring (C?,?*,+) -- 19.2 Extension of the ring (L?,*,+) -- 20 The Cauchy Problem for Erdelyi-Kober Operators -- 20.1 General scheme -- 20.2 Differential equations of
fractional order -- 20.3 Differential equations of hyper-Bessel type -- 21 Operational Method of Solution of some Convolution Equations -- 21.1 Integral equations of Volterra type -- 21.2 Integral equations of second kind with
Kontorovich-Lebedev convolution -- References -- Author Index -- Notations
ISBN:9789401111966
Series:eBooks
Series:SpringerLink (Online service)
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Series:Mathematics and Its Applications : 287
Keywords: Mathematics , Integral equations , Integral transforms , Operational calculus , Special functions , Mathematics , Integral Transforms, Operational Calculus , Special Functions , Integral Equations
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Call number:SPRINGER-1994-9780585280035:ONLINE Show nearby items on shelf
Title:Algebraic Structures and Operator Calculus Volume II: Special Functions and Computer Science
Author(s): Philip Feinsilver
Date:1994
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource (150 p.)
Note:10.1007/978-0-585-28003-5
Contents:Basic Data Structures -- Data Structures & Orthogonal Polynomials -- Applications of Bessel Functions and Lommel Polynomials -- Fourier Transform on Finite Groups and Related Transforms -- Young Tableaux and Combinatorial Enumeration
in Parallel Processing
ISBN:9780585280035
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 292
Keywords: Mathematics , Computer science , Computers , Nonassociative rings , Rings (Algebra) , Integral transforms , Operational calculus , Operator theory , Special functions , Mathematics , Special Functions , Computer Science, general , Theory of Computation , Integral Transforms, Operational Calculus , Operator Theory , Non-associative Rings and Algebras
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Call number:SPRINGER-1993-9789401728836:ONLINE Show nearby items on shelf
Title:Representation of Lie Groups and Special Functions Volume 2: Class I Representations, Special Functions, and Integral Transforms
Author(s): N. Ja Vilenkin
Date:1993
Size:1 online resource (608 p.)
Note:10.1007/978-94-017-2883-6
Contents:9: Special Functions Connected with SO(n) and with Related Groups -- 10: Representations of Groups, Related to SO(n ? 1), in Non-Canonical Bases, Special Functions, and Integral Transforms -- 11: Special Functions Connected with the
Groups U(n), U(0?1,1) and IU(n ? 1) -- 12: Representations of the Heisenberg Group and Special Functions -- 13: Representations of the Discrete Groups and Special Functions of Discrete Argument
ISBN:9789401728836
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications, Soviet Series: 74
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Integral transforms , Operational calculus , Special functions , Physics , Mathematics , Special Functions , Abstract Harmonic Analysis , Topological Groups, Lie Groups , Theoretical, Mathematical and Computational Physics , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1993-9789401712156:ONLINE Show nearby items on shelf
Title:Degenerate Elliptic Equations
Author(s): Serge Levendorskii
Date:1993
Size:1 online resource (436 p.)
Note:10.1007/978-94-017-1215-6
Contents:0 Introduction -- 1 General Calculus of Pseudodifferential Operators -- 2 Model Classes of Degenerate Elliptic Differential Operators -- 3 General Classes of Degenerate Elliptic Differential Operators -- 4 Degenerate Elliptic
Operators in Non — Power — Like Degeneration Case -- 5 Lp — Theory for Degenerate Elliptic Operators -- 6 Coersiveness of Degenerate Quadratic Forms -- 7 Some Classes of Hypoelliptic Pseudodifferential Operators on Closed Manifold -- 8
Algebra of Boundary Value Problems for Class of Pseudodifferential Operators which Change Order on the Boundary -- 9 General Schemes of Investigation of Spectral Asymptotics for Degenerate Elliptic Equations -- 10 Spectral Asymptotics
of Degenerate Elliptic Operators -- 11 Spectral Asymptotics of Hypoelliptic Operators with Multiple Characteristics -- A Brief Review of the Bibligraphy -- Index of Notation
ISBN:9789401712156
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 258
Keywords: Mathematics , Integral equations , Integral transforms , Operational calculus , Partial differential equations , Quantum physics , Vibration , Dynamical systems , Dynamics , Mathematics , Partial Differential Equations , Vibration, Dynamical Systems, Control , Quantum Physics , Integral Transforms, Operational Calculus , Integral Equations
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Call number:SPRINGER-1993-9789401118880:ONLINE Show nearby items on shelf
Title:Semigroups of Linear and Nonlinear Operations and Applications Proceedings of the Curaçao Conference, August 1992
Author(s):
Date:1993
Size:1 online resource (283 p.)
Note:10.1007/978-94-011-1888-0
Contents:A Survey of Semigroups of Linear Operators and Applications -- Nonlinear Semigroups and Applications -- A Bifucation Problem for Point Interactions in L1(IR3) -- Semipositone Problems -- A Generation Result for C-regularized
Semigroups -- Smoothing Properties of Heat Semigroups in Infinite Dimensions -- Locally Stable Dynamics for Reaction-Diffusion Systems -- Global Dynamics of Singularly Perturbed Hodgkin-Huxley Equations -- On Strongly Elliptic
Differential Operators on L1(IRn) -- Stability and Local Invariant Manifolds in Fully Nonlinear Parabolic Equations -- Fractional Integrals and Semigroups -- Spectral and Asymptotic Properties of Strongly Continuous Semigroups --
Continuation for Quasiholomorphic Semigroups -- Global Existence for a Reaction-Diffusion System with a Balance Law -- Convexity of the Growth Bound of C0-semigroups of Operators
ISBN:9789401118880
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Applied mathematics , Engineering mathematics , Mathematics , Operator Theory , Functional Analysis , Partial Differential Equations , Integral Transforms, Operational Calculus , Applications of Mathematics
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Call number:SPRINGER-1993-9783540475651:ONLINE Show nearby items on shelf
Title:Functional Analysis and Related Topics, 1991 Proceedings of the International Conference in Memory of Professor Kôsaku Yosida held at RIMS, Kyoto University, Japan, July 29–Aug. 2, 1991
Author(s):
Date:1993
Size:1 online resource (422 p.)
Note:10.1007/BFb0085469
Contents:Interpolation theorems in several complex variables and applications -- New energies for harmonic maps and liquid crystals -- L p regularity for abstract differential equations -- Some feynman path integrals as oscillatory integrals
over a sobolev manifold -- L p estimates for the stokes system -- Semigroups in probability theory -- Characterization of nonlinearly perturbed semigroups -- Abstract evolution equations, linear and quasilinear, revisited -- Exactly
solvable orbifold models and subfactors -- Asymptotic completeness of N-body wave operators II. A new proof for the short-range case and the asymptotic clustering for long-range systems -- Semigroups of locally lipschitzian operators
and applications -- Operational calculus and semi-groups of operators -- Wave equations in nonreflexive spaces -- Remarks on systems with incompletely given initial data and incompletely given part of the boundary -- On non-convex
curves of constant angle -- Asymptotic behavior of weak solutions of the convection equation -- Uniform restricted parabolic Harnack inequality, separation principle, and ultracontractivity for parabolic equations -- The separable
quotient problem for barrelled spaces -- A computer-assisted analysis of the two dimensional Navier-Stokes equations -- A priori estimates for some nonlinear parabolic equations via lyapunov functions -- Remarks on recurrence criteria
for processes of ornstein-uhlenbeck type -- Some remarks about singular perturbed solutions for emden-fowler equation with exponential nonlinearity -- Fully discrete approximation of a second order linear evolution equation related to
the water wave problem -- A counterexample concerning imaginary powers of linear operators -- Global solution to some quasilinear parabolic problem in mathematical biology -- Quasilinear geometric optics approximation
ISBN:9783540475651
Series:eBooks
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Series:Lecture Notes in Mathematics: 1540
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1993-9781461579090:ONLINE Show nearby items on shelf
Title:Stochastic Processes A Festschrift in Honour of Gopinath Kallianpur
Author(s):
Date:1993
Size:1 online resource (367 p.)
Note:10.1007/978-1-4615-7909-0
Contents:A remark on the support of cadlag processes -- Large deviation results for branching processes -- Random iterations of two quadratic maps -- Zero-one law for semigroups of measures on groups -- Multiplicity properties of stationary
second order random fields -- Multiple time scale analysis of hierarchically interacting systems -- Feynman’s operational calculus as a generalized path integral -- Forward and backward equations for an adjoint process -- The
transition function of a measure-valued branching diffusion with immigration -- Scattering theory for unitary cocycles -- Sur les variations des fonctions aléatoires Gaussiennes -- Random allocation methods in an epidemic model -- On
Hellinger transforms for solutions of martingale problems -- The homogeneous chaos over compact Lie groups -- Asymptotics for two-dimensional anisotropic random walks -- A role of the Lévy Laplacian in the causal calculus of
generalized white noise functionals -- On the approximation of multiple Stratonovich integrals -- Two examples of parameter estimation for stochastic partial differential equations -- Computer simulation of ?-stable Ornstein-Uhlenbeck
processes -- Some linear random functional characterized by Lp-symmetries -- Higher order approximate Markov chain filters -- Fourier transform and cylindrical Hida distributions -- Representation and stability of nonlinear filters
associated with Gaussian noises -- On central limit theory for families of strongly mixing additive random functions -- Positive generalized functions on infinite dimensional space -- Strong solutions of stochastic bilinear equations
with anticipating drift in the first Wiener chaos -- Structure of periodically distributed stochastic sequences -- Markov property of measure-indexed Gaussian random fields -- Relative entropy as a countably additive measure --
Probability bounds, multivariate normal distribution and an integro-diflferential inequality for random vectors -- On the gauge for the third boundary value problem -- A note on prediction and an autoregressive sequence -- On
generalized stochastic partial differential equations -- Examples of self similar stable processes -- Green operators of absorbing Levy processes on the half line -- Moments of sums of independent random variables -- Relative entropy
and hydrodynamic limits -- Donsker’s ?-function and its applications in the theory of white noise analysis -- A fractional calculus on Wiener space -- Inequalities for products of white noise functionals -- A note on the consistency of
M-estimates in linear models
ISBN:9781461579090
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Keywords: Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes
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Call number:SPRINGER-1993-9781461203155:ONLINE Show nearby items on shelf
Title:Integrable Systems The Verdier Memorial Conference Actes du Colloque International de Luminy
Author(s):
Date:1993
Size:1 online resource (370 p.)
Note:10.1007/978-1-4612-0315-5
Contents:Hommage à Jean-Louis Verdier: au jardin des systèmes intégrables -- I. Algebro-Geometric Methods and ?-Functions -- Compactified Jacobians of Tangential Covers -- Heisenberg Action and Verlinde Formulas -- Hyperelliptic Curves that
Generate Constant Mean Curvature Tori in ?3 -- Modular Forms as ?-Functions for Certain Integrable Reductions of the Yang-Mills Equations -- The ?-Functions of the gAKNS Equations -- On Segal-Wilson’s Definition of the ?-Function and
Hierarchies AKNS-D and mcKP -- The Boundary of Isospectral Manifolds, Bäcklund Transforms and Regularization -- II. Hamiltonian Methods -- The Geometry of the Full Kostant-Toda Lattice -- Deformations of a Hamiltonian Action of a
Compact Lie Group -- Linear-Quadratic Metrics “Approximate” any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus -- Canonical Forms for Bihamiltonian Systems -- Bihamiltonian Manifolds and Sato’s Equations --
III. Solvable Lattice Models -- Generalized Chiral Potts Models and Minimal Cyclic Representations of $${U_q}(\widehat{gl}(n,C))$$) -- Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional
Generalizations -- IV. Topological Field Theory -- Integrable Systems and Classification of 2-Dimensional Topological Field Theories -- List of Participants
ISBN:9781461203155
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 115
Keywords: Mathematics , Algebra , Integral transforms , Operational calculus , Mathematics , General Algebraic Systems , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1992-9789401728812:ONLINE Show nearby items on shelf
Title:Representation of Lie Groups and Special Functions Volume 3: Classical and Quantum Groups and Special Functions
Author(s): N. Ja Vilenkin
Date:1992
Size:1 online resource (634 p.)
Note:10.1007/978-94-017-2881-2
Contents:14: Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions -- 15: Semisimple Lie Groups and Related Homogeneous Spaces -- 16: Representations of Semisimple Lie Groups and Their Matrix Elements -- 17: Group
Representations and Special Functions of a Matrix Argument -- 18: Representations in the Gel’fand-Tsetlin Basis and Special Functions -- 19: Modular Forms, Theta Functions and Representations of Affine Lie Algebras -- Bibliography
Notes
ISBN:9789401728812
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 75
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Integral transforms , Operational calculus , Special functions , Mathematics , Special Functions , Abstract Harmonic Analysis , Topological Groups, Lie Groups , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1992-9789401124249:ONLINE Show nearby items on shelf
Title:The Mellin Transformation and Fuchsian Type Partial Differential Equations
Author(s): Zofia Szmydt
Date:1992
Size:1 online resource (222 p.)
Note:10.1007/978-94-011-2424-9
Contents:I. Introduction -- §1. Terminology and notation -- §2. Elementary facts on complex topological vector spaces -- Exercise -- §3. A review of basic facts in the theory of distributions -- Exercises -- II. Mellin distributions and the
Mellin transformation -- §4. The Fourier and the Fourier-Mellin transformations -- Exercises -- §5. The spaces of Mellin distributions with support in a polyinterval -- Exercises -- §6. Operations of multiplication and differentiation
in the space of Mellin distributions -- Exercises -- §7. The Mellin transformation in the space of Mellin distributions -- Exercises -- §8. The structure of Mellin distributions -- Exercises -- §9. Paley-Wiener type theorems for the
Mellin transformation -- Exercises -- §10. Mellin transforms of cut-off functions (continued) -- Exercises -- §11. Important subspaces of Mellin distributions -- Exercises -- §12. The modified Cauchy transformation -- Exercises -- III.
Fuchsian type singular operators -- §13. Fuchsian type ordinary differential operators -- Exercises -- §14. Elliptic Fuchsian type partial differential equations in spaces % MathType!MTEF!2!1!+- %
feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x %
fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiuaiaacI % cacaWG4bWaaSaaaeaacaWGKbaabaGaamizaiaadIhaaaGaaiykaiaa % dwhacqGH9aqpcaWGMbaaaa!3EE9!$$ P(x\frac{d}{{dx}})u = f $$ -- 2. Case of a proper cone -- Exercise -- §15. Fuchsian type
partial differential equations in spaces with continuous radial asymptotics -- Appendix. Generalized smooth functions and theory of resurgent functions of Jean Ecalle -- 1. Introduction -- 2. Generalized Taylor expansions -- 3. Algebra
of resurgent functions of Jean Ecalle -- 4. Applications -- List of Symbols
ISBN:9789401124249
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (East European Series): 56
Keywords: Mathematics , Approximation theory , Functional analysis , Integral transforms , Operational calculus , Partial differential equations , Mathematics , Partial Differential Equations , Integral Transforms, Operational Calculus , Functional Analysis , Approximations and Expansions
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Call number:SPRINGER-1992-9781461227809:ONLINE Show nearby items on shelf
Title:Physics of the Plasma Universe
Author(s): Anthony L Peratt
Date:1992
Size:1 online resource (372 p.)
Note:10.1007/978-1-4612-2780-9
Contents:1. Cosmic Plasma Fundamentals -- 1.1 Plasma -- 1.2 The Physical Sizes and Characteristics of Plasmas in the Universe -- 1.3 Regions of Applicability of Plasma Physics -- 1.4 Power Generation and Transmission -- 1.5 Electrical
Discharges in Cosmic Plasma -- 1.6 Particle Acceleration in Cosmic Plasma -- 1.7 Plasma Pinches and Instabilities -- 1.8 Diagnosing Cosmic Plasmas -- 2. Birkeland Currents in Cosmic Plasma -- 2.1 History of Birkeland Currents -- 2.2
Field-Aligned Currents in Laboratory Plasma -- 2.3 Field-Aligned Currents in Astrophysical Plasmas -- 2.4 Basic Equations of Magnetohydrodynamics -- 2.5 The Generalized Bennett Relation -- 2.6 Application of the Carlqvist Relation --
2.7 Basic Fluid and Beam Instabilities -- 2.8 Laboratory Simulation of Cosmic Plasma Processes -- 2.9 The Particle-in-Cell Simulation of Beams and Birkeland Currents -- 3. Biot—Savart Law in Cosmic Plasma -- 3.1 History of Magnetism --
3.2 The Magnetic Interaction of Steady Line Currents -- 3.3 The Magnetic Induction Field -- 3.4 The Vector Potential -- 3.5 Quasi-Stationary Magnetic Fields -- 3.6 Inductance -- 3.7 Storage of Magnetic Energy -- 3.8 Forces as
Derivatives of Coefficients of Inductance -- 3.9 Measurement of Magnetic Fields in Laboratory Plasmas -- 3.10 Particle-in-Cell Simulation of Interacting Curents -- 3.11 Magnetic Fields in Cosmic Dimensioned Plasma -- 4. Electric Fields
in Cosmic Plasma -- 4.1 Electric Fields -- 4.2 Measurement of Electric Fields -- 4.3 Magnetic Field Aligned Electric Fields -- 4.4 Magnetospheric Electric Fields -- 4.5 Outstanding Questions -- 4.6 Phenomena Associated with Electric
Fields -- 5. Double Layers in Astrophysics -- 5.1 General Description of Double Layers -- 5.2 The Time-Independent Double Layer -- 5.3 Particle-in-Cell Simulation of Double Layers -- 5.4 Double Layers in Current Filaments -- 5.5 Basic
Properties of Double Layers -- 5.6 Examples of Cosmic Double Layers -- 6. Synchrotron Radiation -- 6.1 Theory of Radiation from an Accelerated Charge -- 6.2 Radiation of an Accelerated Electron in a Magnetic Field -- 6.3 Field
Polarization -- 6.4 Radiation from an Ensemble of Electrons -- 6.5 Synchrotron Radiation from Z Pinches -- 6.6 Particle-in-Cell Simulation of Synchrotron Processes -- 6.7 Synchrotron Radiation from Cosmic Sources -- 7. Transport of
Cosmic Radiation -- 7.1 Energy Transport in Plasma -- 7.2 Applications of Geometrical Optics -- 7.3 Black Body Radiation -- 7.4 The Source Function and Kirchoff’s Law -- 7.5 Self Absorption by Plasma Filaments -- 7.6 Large-Scale,
Random Magnetic Field Approximation -- 7.7 Anisotropic Distribution of Velocities -- 8. Particle-in-Cell Simulation of Cosmic Plasma -- 8.1 “In-Situ” Observation of Cosmic Plasmas via Computer Simulation -- 8.2 The History of
Electromagnetic Particle-in-Cell Simulation -- 8.3 The Laws of Plasma Physics -- 8.4 Multidimensional Particle-in-Cell Simulation -- 8.5 Techniques for Solution -- 8.6 Issues in Simulating Cosmic Phenomena -- 8.7 Gravitation -- 8.8
Scaling Laws -- 8.9 Data Management -- 8.10 Further Developments in Plasma Simulation -- Appendix A. Transmission Line Fundamentals in Space and Cosmic Plasmas -- A.1 Transmission Lines -- A.2 Definition of the State of the Line at a
Point -- A.3 Primary Parameters -- A.4 General Equations -- A.4.1 The General Case -- A.4.2 The Special Case of the Lossless Line -- A.5 Heaviside’s Operational Calculus (The Lapace Transform) -- A.5.1 The Propagation Function -- A.5.2
Characteristic Impedance -- A.5.3 Reflection Coefficients -- A.6 Time-Domain Reflectometry -- Appendix B. Polarization of Electromagnetic Waves in Plasma -- Appendix C. Dusty and Grain Plasmas -- C.1 Dusty Plasma -- C.2 Grain Plasma --
Appendix D. Some Useful Units and Constants -- Appendix E. TRISTAN -- References
ISBN:9781461227809
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Space sciences , Atoms , Physics , Atomic, Molecular, Optical and Plasma Physics , Extraterrestrial Physics, Space Sciences
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Call number:SPRINGER-1991-9789401135382:ONLINE Show nearby items on shelf
Title:Representation of Lie Groups and Special Functions Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms
Author(s): N. Ja Vilenkin
Date:1991
Size:1 online resource (612 p.)
Note:10.1007/978-94-011-3538-2
Contents:0: Introduction -- 1: Elements of the Theory of Lie Groups and Lie Algebras -- 1.0. Preliminary Information from Algebra, Topology, and Functional Analysis -- 1.1. Lie Groups and Lie Algebras -- 1.2. Homogeneous Spaces with Semisimple
Groups of Motions -- 2: Group Representations and Harmonic Analysis on Groups -- 2.1. Representations of Lie Groups and Lie Algebras -- 2.2. Basic Concepts of the Theory of Representations -- 2.3. Harmonic Analysis on Groups and on
Homogeneous Spaces -- 3: Commutative Groups and Elementary Functions. The Group of Linear Transformations of the Straight Line and the Gamma-Function. Hypergeometric Functions -- 3.1. Representations of One-Dimensional Commutative Lie
Groups and Elementary Functions -- 3.2. The Groups SO(2) and R, Fourier Series and Integrals -- 3.3. Fourier Transform in the Complex Domain. Mellin and Laplace Transforms -- 3.4. Representations of the Group of Linear Transforms of
the Straight Line and the Gamma-Function -- 3.5. Hypergeometric Functions and Their Properties -- 4: Representations of the Groups of Motions of Euclidean and Pseudo-Euclidean Planes, and Cylindrical Functions -- 4.1. Representations
of the Group ISO(2) and Bessel Functions with Integral Index -- 4.2. Representations of the Group ISO(1,1), Macdonald and Hankel Functions -- 4.3. Functional Relations for Cylindrical Functions -- 4.4. Quasi-Regular Representations of
the Groups ISO(2), ISO(1,1) and Integral Transforms -- 5: Representations of Groups of Third Order Triangular Matrices, the Confluent Hypergeometric Function, and Related Polynomials and Functions -- 5.1. Representations of the Group
of Third Order Real Triangular Matrices -- 5.2. Functional Relations for Whittaker Functions -- 5.3. Functional Relations for the Confluent Hypergeometric Function and for Parabolic Cylinder Functions -- 5.4. Integrals Involving
Whittaker Functions and Parabolic Cylinder Functions -- 5.5. Representations of the Group of Complex Third Order Triangular Matrices, Laguerre and Charlier Polynomials -- 6: Representations of the Groups SU(2), SU(1,1) and Related
Special Functions: Legendre, Jacobi, Chebyshev Polynomials and Functions, Gegenbauer, Krawtchouk, Meixner Polynomials -- 6.1. The Groups SU(2) and SU(1,1) -- 6.2. Finite Dimensional Irreducible Representations of the Groups GL(2,C) and
SU(2) -- 6.3. Matrix Elements of the Representations T? of the Group SL(2, C) and Jacobi, Gegenbauer and Legendre Polynomials -- 6.4. Representations of the Group SU(1,1) -- 6.5. Matrix Elements of Representations of SU(1, 1), Jacobi
and Legendre Functions -- 6.6. Addition Theorems and Multiplication Formulas -- 6.7. Generating Functions and Recurrence Formulas -- 6.8. Matrix Elements of Representations of SU(2) and SU(1,1) as Functions of Column Index. Krawtchouk
and Meixner Polynomials -- 6.9. Characters of Representations of SU(2) and Chebyshev Polynomials -- 6.10. Expansion of Functions on the Group SU(2) -- 7: Representations of the Groups SU(1,1) and SL(2,?) in Mixed Bases. The
Hypergeometric Function -- 7.1. The Realization of Representations T? in the Space of Functions on the Straight Line -- 7.2. Calculation of the Kernels of Representations R? -- 7.3. Functional Relations for the Hypergeometric Function
-- 7.4. Special Functions Connected with the Hypergeometric Function -- 7.5. The Mellin Transform and Addition Formulas for the Hypergeometric Function -- 7.6. The Kernels K33(?,? ? g) and Hankel Functions -- 7.7. The Kernels Kij(?, ?
? g), i ? j, and Special Functions -- 7.8. Harmonic Analysis on the Group SL(2, R) and Integral Transforms -- 8: Clebsch-Gordan Coefficients, Racah Coefficients, and Special Functions -- 8.1. Clebsch-Gordan Coefficients of the Group
SU(2) -- 8.2. Properties of CGC’s of the Group SU(2) -- 8.3. CGC’s, the Hypergeometric Function 3F2(… 1) and Jacobi Polynomials -- 8.4. Racah Coefficients of SU(2) and the Hypergeometric Function 4F3(… 1) -- 8.5. Hahn and Racah
Polynomials -- 8.6. Clebsch-Gordan and Racah Coefficients of the Group S and Orthogonal Polynomials -- 8.7. Clebsch-Gordan Coefficients of the Group SL(2, R)
ISBN:9789401135382
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 72
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Integral transforms , Operational calculus , Special functions , Physics , Mathematics , Special Functions , Abstract Harmonic Analysis , Topological Groups, Lie Groups , Theoretical, Mathematical and Computational Physics , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1990-9789400905276:ONLINE Show nearby items on shelf
Title:Convolutional Calculus
Author(s): Ivan H Dimovski
Date:1990
Size:1 online resource (208 p.)
Note:10.1007/978-94-009-0527-6
Contents:1. Convolutions of Linear Operators. Multipliers and Multiplier Quotients -- 1.1. The Duhamel Convolution -- 1.2. The Mikusi?ski Ring -- 1.3. Convolutions of Linear Endomorphisms -- 1.4. The Multiplier Quotients Ring of an
Annihilators-free Convolutional Algebra -- 2. Convolutions of General Integration Operators. Applications -- 2.1. Convolutions of the Linear Right Inverses of the Differentiation Operator -- 2.2. An Application of the Convolutional
Approach to Dirichlet Expansions of Locally Holomorphic Functions -- 2.3. A Convolution for the General Right Inverse of the Backward Shift Operator in Spaces of Locally Holomorphic Functions -- 2.4. Convolutions and Commutants of the
Gelfond-Leontiev Integration Operator and of Its Integer Powers -- 2.5. Operational Calculi for the Bernoulli Integration Operator -- 3. Convolutions Connected with Second-Order Linear Differential Operators -- 3.1. Convolutions of
Right Inverse Operators of the Square of the Differentiation -- 3.2. Convolutions of Initial Value Right Inverses of Linear Second-Order Differential Operators -- 3.3. Convolutions of Boundary Value Right Inverses of Linear
Second-Order Differential Operators -- 3.4. Applications of Convolutions to Non-Local Boundary Value Problems -- References -- Authors index
ISBN:9789400905276
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (East European Series): 43
Keywords: Engineering , Mathematical analysis , Analysis (Mathematics) , Physics , Electrical engineering , Electronic circuits , Engineering , Circuits and Systems , Analysis , Theoretical, Mathematical and Computational Physics , Electrical Engineering
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Call number:SPRINGER-1990-9789400904873:ONLINE Show nearby items on shelf
Title:Self-Timed Control of Concurrent Processes The Design of Aperiodic Logical Circuits in Computers and Discrete Systems
Author(s):
Date:1990
Size:1 online resource (432 p.)
Note:10.1007/978-94-009-0487-3
Contents:1 Introduction -- 2 Asynchronous processes and their interpretation -- 2.1 Asynchronous processes -- 2.2 Petri nets -- 2.3 Signal graphs -- 2.4 The Muller model -- 2.5 Parallel asynchronous flow charts -- 2.6 Asynchronous state
machines -- 2.7 Reference notations -- 3 Self-synchronizing codes -- 3.1 Preliminary definitions -- 3.2 Direct-transition codes -- 3.3 Two-phase codes -- 3.4 Double-rail code -- 3.5 Code with identifier -- 3.6 Optimally balanced code
-- 3.7 On the code redundancy -- 3.8 Differential encoding -- 3.9 Reference notations -- 4 Aperiodic circuits -- 4.1 Two-phase implementation of finite state machine -- 4.2 Completion indicators and checkers -- 4.3 Synthesis of
combinatorial circuits -- 4.4 Aperiodic flip-flops -- 4.5 Canonical aperiodic implementations of finite state machines -- 4.6 Implementation with multiple phase signals -- 4.7 Implementation with direct transitions -- 4.8 On the
definition of an aperiodic state machine -- 4.9 Reference notations -- 5 Circuit modelling of control flow -- 5.1 The modelling of Petri nets -- 5.2 The modelling of parallel asynchronous flow charts -- 5.3 Functional completeness and
synthesis of semi-modular circuits -- 5.4 Synthesis of semi-modular circuits in limited bases -- 5.5 Modelling pipeline processes -- 5.6 Reference notations -- 6 Composition of asynchronous processes and circuits -- 6.1 Composition of
asynchronous processes -- 6.2 Composition of aperiodic circuits -- 6.3 Algebra of asynchronous circuits -- 6.4 Reference notations -- 7 The matching of asynchronous processes and interface organization -- 7.1 Matched asynchronous
processes -- 7.2 Protocol -- 7.3 The matching asynchronous process -- 7.4 The T2 interface -- 7.5 Asynchronous interface organization -- 7.6 Reference notations -- 8 Analysis of asynchronous circuits and processes -- 8.1 The
reachability analysis -- 8.2 The classification analysis -- 8.3 The set of operational states -- 8.4 The effect of non-zero wire delays -- 8.5 Circuit Petri nets -- 8.6 On the complexity of analysis algorithms -- 8.7 Reference
notations -- 9 Anomalous behaviour of logical circuits and the arbitration problem -- 9.1 Arbiters -- 9.2 Oscillatory anomaly -- 9.3 Meta-stability anomaly -- 9.4 Designing correctly-operating arbiters -- 9.5 “Bounded” arbiters and
safe inertial delays -- 9.6 Reference notations -- 10 Fault diagnosis and self-repair in aperiodic circuits -- 10.1 Totally self-checking combinational circuits -- 10.2 Totally self-checking sequential machines -- 10.3 Fault detection
in autonomous circuits -- 10.4 Self-repair organization for aperiodic circuits -- 10.5 Reference notations -- 11 Typical examples of aperiodic design modules -- 11.1 The JK-flip-flop -- 11.2 Registers -- 11.3 Pipeline registers -- 11.4
Converting single-rail signals into double-rail ones -- 11.5 Counters -- 11.6 Reference notations -- Editor’s Epilogue -- References
ISBN:9789400904873
Series:eBooks
Series:SpringerLink (Online service)
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Series:Mathematics and Its Applications (Soviet Series): 52
Keywords: Computer science , Microprocessors , Computers , Calculus of variations , Electrical engineering , Electronic circuits , Computer Science , Theory of Computation , Circuits and Systems , Electrical Engineering , Processor Architectures , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-1988-9789400930391:ONLINE Show nearby items on shelf
Title:Polarized Spectroscopy of Ordered Systems
Author(s):
Date:1988
Size:1 online resource (586 p.)
Note:10.1007/978-94-009-3039-1
Contents:Spectroscopic Applications of Molecular Alignment -- Applications of IR and UV-Visible Linear Dichroism -- Order Parameters and Orientational Distributions in Liquid Crystals -- Molecular Alignment - Origin, Methods of Measurement,
and Theoretical Description -- Liquid Crystal — Linear Dichroism Stereochemical Applications of Electronic State Assignments -- Linear Dichroism and Induced Circular Dichroism for Studying Structure and Interactions of DNA -- Extending
Linear Dichroism Measurements into the Vacuum Ultraviolet for Improved Information Content -- Polarisation Properties in Infrared and Raman for the Study of Molecular Dynamics of Chain Molecules -- New Techniques for Aligning
Molecules: Migrative Orientation -- Reactivity Control in Liquid Crystalline Ordered Systems: Orientational Information by Linear Dichroism -- Polarization Modulation Spectroscopy -- Why Does Sinusoidally Modulated Polarization
Introduce a Systematic Error in Linear Dichroism Measurements? Analytical and Instrumental Solutions -- Differential Polarization Imaging -- Differential Polarization Imaging: Theory and Applications -- Theory of Absorption and
Circular Dichroism of Large Inhomogeneous Molecular Aggregates -- The Effect of Anisotropic Properties of Randomly Oriented Particles on Polarized Light: an Operational Calculus for Spatially Heterogeneous Distributions -- Optical
Activity of Oriented Molecules -- Fluorescence Depolarization in Liquid Crystals -- Angle-Resolved Techniques in Studies of Organic Molecules in Ordered Systems Using Polarized Light -- Some Aspects of Excited-State Probe Emission
Spectroscopy for Structure and Dynamics of Model and Biological Membranes
ISBN:9789400930391
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 242
Keywords: Life sciences , Physical chemistry , Biochemistry , Condensed matter , Life Sciences , Biochemistry, general , Physical Chemistry , Condensed Matter Physics
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Call number:SPRINGER-1988-9781461310556:ONLINE Show nearby items on shelf
Title:Generalized Functions, Convergence Structures, and Their Applications
Author(s):
Date:1988
Size:1 online resource (464 p.)
Note:10.1007/978-1-4613-1055-6
Contents:Section I. Plenary Lectures -- Nonharmonic solutions of the Laplace equation -- Generalized functions multiplication of distributions applications to elasticity, elastoplasticity, fluid dynamics and acoustics -- Monads and convergence
-- Simple applications of generalized functions in theoretical physics: the case of many-body perturbation expansions -- Laplace transforms of hyperfunctions: another foundation of the Heaviside operational calculus -- S-asymptotic of
distributions -- The Wiener-Hopf equation in the Nevanlinna and Smirnov algebras and ultradistributions -- Section II. Generalized Functions -- On nonlinear systems of ordinary differential equations -- A new construction of continuous
endomorphisms of the operator field -- Some comments on the Burzyk-Paley-Wiener theorem for regular operators -- Two theorems on the differentiation of regular convolution quotients -- Values on the topological boundary of tubes --
Abelian theorem for the distributional Stieltjes transformation -- Some results on the neutrix convolution product of distributions -- On generalized transcedental functions and distributional transforms -- An algebraic approach to
distribution theories -- Products of Wiener functionals on an abstract Wiener space -- Convolution in K’{Mp}-spaces -- The problem of the jump and the Sokhotski formulas in the space of generalized functions on a segment of the real
axis -- A generalized fractional calculus and integral transforms -- On the generalized Meijer transformation -- The construction of regular spaces and hyperspaces with respect to a particular operator -- Operational calculus with
derivative ? = S2 -- Solvability of nonlinear operator equations with applications to hyperbolic equations -- Some important results of distribution theory -- Hyperbolic systems with discontinuous coefficients: examples -- Estimations
for the solutions of operator linear differential equations -- Invariance of the Cauchy problem for distribution differential equations -- On the space $$\upsilon _{{\text{L}}^{\text{q}} }^{\prime\,^{\left( {{\text{M}}_{\text{p}} }
\right)} } $$ , q ? [1, ?] -- Peetre’s theorem and generalized functions -- Infinite dimensional Fock spaces and an associated generalized Laplacian operator -- The n–dimensional Stieltjes transformation -- Colombeau’s generalized
functions and non-standard analysis -- One product of distributions -- Abel summability for a distribution sampling theorem -- On the value of a distribution at a point -- Section III. Convergence Structures -- On interchange of limits
-- Countability, completeness and the closed graph theorem -- Inductive limits of Riesz spaces -- Convergence completion of partially ordered groups -- Some results from nonlinear analysis in limit vector spaces -- Completions of
Cauchy vector spaces -- Regular inductive limits -- Weak convergence in a K-space -- The Banach-Steinhaus theorem for ordered spaces -- Section IV. Open Problems -- Open problems -- Participants
ISBN:9781461310556
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Keywords: Mathematics , Computer science , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis , Computer Science, general
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Call number:SPRINGER-1987-9783642713347:ONLINE Show nearby items on shelf
Title:Partial Differential Equations An Introduction to a General Theory of Linear Boundary Value Problems
Author(s): Aleksei A Dezin
Date:1987
Size:1 online resource (165 p.)
Note:10.1007/978-3-642-71334-7
Contents:I. Elements of Spectral Theory -- §0. Introductory Remarks -- §1. Basic Definitions -- §2. The Spectrum of an Operator -- §3. Special Classes of Operators -- II. Function Spaces and Operators Generated by Differentiation -- §0.
Introductory Remarks -- §1. The Space IH(F) -- §2. Differential Operations and the Maximal Operator -- §3. The Minimal Operator and Proper Operators -- §4. Weak and Strong Extensions of Differential Operations -- §5. Averaging
Operators -- §6. The Identity of Weak and Strong Extensions of Differential Operations -- §7. W Spaces -- III. Ordinary Differential Operators -- §0. Introductory Remarks -- §1. Description of Proper Operators for n = 1. -- §2. The
Ordinary Differential Operator of the First Order -- §3. Birkhoff Theory -- §4. Supplementary Remarks -- IV. Model Operators -- §0. Introductory Remarks -- §1. Tensor Products and Model Operators -- §2. Operators on the n-Dimensional
Torus -- V. First-Order Operator Equations -- §0. Introductory Remarks -- §1. The Operator Dt—A The Spectrum -- §2. The Operator Dt2013A Special Boundary Conditions -- §3. The Operator Dt—k\Classification -- §4. Operators not Solvable
for Dt -- §5. Differential Properties of the Solutions of Operator Equations, and Related Questions -- 6. Some Operators with Variable Coefficients in the Principal Part -- 7. Concluding Remarks -- VI. Operator Equations of Higher
Order -- §0. Introductory Remarks -- §1. Second-Order Operator Equations -- §2. Operator Equations of Higher Order (m 2) -- VII. General Existence Theorems for Proper Operators.. -- §0. Introductory Remarks -- §1. Lemma on Restriction
of a Domain -- §2. Existence Theorem for a Proper Operator -- 3. Description of Proper Operators in a Parallelepiped -- VIII. A Special Operational Calculus -- §0. Introductory Remarks -- §1. Construction of the Operational Calculus --
§2. Some Examples -- §3. The Necessity for Restrictions on the Resolvent -- Concluding Remarks -- Appendix 1. On Some Systems of Equations Containing a Small Parameter -- §1. Formulation of the Problem -- §2. Truncation of the System
-- §3. The Complete System -- Appendix 2. Further Developments -- References -- Index of Symbols
ISBN:9783642713347
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1987-9781461308973:ONLINE Show nearby items on shelf
Title:Mathematical Logic and Its Applications
Author(s):
Date:1987
Size:1 online resource (386 p.)
Note:10.1007/978-1-4613-0897-3
Contents:Gödel Session (Invited Papers) -- Remarks Concerning Kurt Gödel’s Life and Work -- Facets of Incompleteness -- Goder s Life and Work -- Summer School (Invited Papers) -- Categorial Grammar Lambda Calculus -- A Constructive Morse
Theory of Sets -- Differentiation of Constructive Functions of a Real Variable and Relative Computability -- A Completeness Theorem for Higher-Order Intuitionistic Logic: An Intuitionistic Proof -- Reasoning in Trees --
Non-Deterministic Program Schemata and their Relation to Dynamic Logic -- The Parallel Evaluation of Functional Programs -- Logic Approximating Sequences of Sets -- Intuitionistic Formal Spaces — A First Communication -- On the Logic
of Small Changes in Theories, II -- On ‘Logical Relations’ in Program Semantics -- Conference (Contributed Papers) -- Search Computabi1ity and Computabi1ity with Numberings Are Equivalent the Case of Finite Set of Objects --
Cut-Elimination Theorem for Higher-Order Classical Logic. An Intuitionistic Proof -- Modal Environment for Boolean Speculations -- Distributive Spaces -- Approximating the Projective Model -- Projection Complete Graph Problems
Corresponding to a Branching-Program-Based Characterization of the Complexity Classes HC2, L and NL -- Constructive Theories with Abstract Data Types for Program Synthesis -- A First-Order Logic for Logic Programming -- The Relational
Semantics for Branched Quantifiers -- Propositional Dynamic Logic in Two- and More Dimensions -- On a Non-Constructive Type Theory and Program Derivation -- Prime Computabi1ity on Partial Structures -- Complexity Bounded Martin-Löf
Tests -- Participants and Contributors
ISBN:9781461308973
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Logic , Integral transforms , Operational calculus , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Integral Transforms, Operational Calculus , Logic
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Call number:SPRINGER-1985-9781461210825:ONLINE Show nearby items on shelf
Title:Linear Multivariable Control A Geometric Approach
Author(s): W. Murray Wonham
Date:1985
Edition:Third Edition
Size:1 online resource (334 p.)
Note:10.1007/978-1-4612-1082-5
Contents:0 Mathematical Preliminaries -- 0.1 Notation -- 0.2 Linear Spaces -- 0.3 Subspaces -- 0.4 Maps and Matrices -- 0.5 Factor Spaces -- 0.6 Commutative Diagrams -- 0.7 Invariant Subspaces. Induced Maps -- 0.8 Characteristic Polynomial.
Spectrum -- 0.9 Polynomial Rings -- 0.10 Rational Canonical Structure -- 0.11 Jordan Decomposition -- 0.12 Dual Spaces -- 0.13 Tensor Product. The Sylvester Map -- 0.14 Inner Product Spaces -- 0.15 Hermitian and Symmetric Maps -- 0.16
Well-Posedness and Genericity -- 0.17 Linear Systems -- 0.18 Transfer Matrices. Signal Flow Graphs -- 0.19 Rouché’s Theorem -- 0.20 Exercises -- 0.21 Notes and References -- 1 Introduction to Controllability -- 1.1 Reachability -- 1.2
Controllability -- 1.3 Single-Input Systems -- 1.4 Multi-Input Systems -- 1.5 Controllability is Generic -- 1.6 Exercises -- 1.7 Notes and References -- 2 Controllability, Feedback and Pole Assignment -- 2.1 Controllability and
Feedback -- 2.2 Pole Assignment -- 2.3 Incomplete Controllability and Pole Shifting -- 2.4 Stabilizability -- 2.5 Exercises -- 2.6 Notes and References -- 3 Observability and Dynamic Observers -- 3.1 Observability -- 3.2 Unobservable
Subspace -- 3.3 Full Order Dynamic Observer -- 3.4 Minimal Order Dynamic Observer -- 3.5 Observers and Pole Shifting -- 3.6 Detectability -- 3.7 Detectors and Pole Shifting -- 3.8 Pole Shifting by Dynamic Compensation -- 3.9 Observer
for a Single Linear Functional -- 3.10 Preservation of Observability and Detectability -- 3.11 Exercises -- 3.12 Notes and References -- 4 Disturbance Decoupling and Output Stabilization -- 4.1 Disturbance Decoupling Problem (DDP) --
4.2 (A, B)-Invariant Subspaces -- 4.3 Solution of DDP -- 4.4 Output Stabilization Problem (OSP) -- 4.5 Exercises -- 4.6 Notes and References -- 5 Controllability Subspaces -- 5.1 Controllability Subspaces -- 5.2 Spectral Assignability
-- 5.3 Controllability Subspace Algorithm -- 5.4 Supremal Controllability Subspace -- 5.5 Transmission Zeros -- 5.6 Disturbance Decoupling with Stability -- 5.7 Controllability Indices -- 5.8 Exercises -- 5.9 Notes and References -- 6
Tracking and Regulation I: Output Regulation -- 6.1 Restricted Regulator Problem (RRP) -- 6.2 Solvability of RRP -- 6.3 Example 1 : Solution of RRP -- 6.4 Extended Regulator Problem (ERP) -- 6.5 Example 2: Solution of ERP -- 6.6
Concluding Remarks -- 6.7 Exercises -- 6.8 Notes and References -- 7 Tracking and Regulation II: Output Regulation with Internal Stability -- 7.1 Solvability of RPIS: General Considerations -- 7.2 Constructive Solution of RPIS: N= 0 --
7.3 Constructive Solution of RPIS: N Arbitrary -- 7.4 Application: Regulation Against Step Disturbances -- 7.5 Application: Static Decoupling -- 7.6 Example 1 : RPIS Unsolvable -- 7.7 Example 2: Servo-Regulator -- 7.8 Exercises -- 7.9
Notes and References -- 8 Tracking and Regulation III: Structurally Stable Synthesis -- 8.1 Preliminaries -- 8.2 Example 1: Structural Stability -- 8.3 Well-Posedness and Genericity -- 8.4 Well-Posedness and Transmission Zeros -- 8.5
Example 2: RPIS Solvable but Ill-Posed -- 8.6 Structurally Stable Synthesis -- 8.7 Example 3: Well-Posed RPIS: Strong Synthesis -- 8.8 The Internal Model Principle -- 8.9 Exercises -- 8.10 Notes and References -- 9 Noninteraeting
Control I: Basic Principles -- 9.1 Decoupling: Systems Formulation -- 9.2 Restricted Decoupling Problem (RDP) -- 9.3 Solution of RDP: Outputs Complete -- 9.4 Extended Decoupling Problem (EDP) -- 9.5 Solution of EDP -- 9.6 Naive
Extension -- 9.7 Example -- 9.8 Partial Decoupling -- 9.9 Exercises -- 9.10 Notes and References -- 10 Noninteraeting Control II: Efficient Compensation -- 10.1 The Radical -- 10.2 Efficient Extension -- 10.3 Efficient Decoupling --
10.4 Minimal Order Compensation: d(?) = 2 -- 10.5 Minimal Order Compensation: d(?) = k -- 10.6 Exercises -- 10.7 Notes and References -- 11 Noninteraeting Control III: Generic Solvability -- 11.1 Generic Solvability of EDP -- 11.2
State Space Extension Bounds -- 11.3 Significance of Generic Solvability -- 11.4 Exercises -- 11.5 Notes and References -- 12 Quadratic Optimization I: Existence and Uniqueness -- 12.1 Quadratic Optimization -- 12.2 Dynamic
Programming: Heuristics -- 12.3 Dynamic Programming: Formal Treatment -- 12.4 Matrix Quadratic Equation -- 12.5 Exercises -- 12.6 Notes and References -- 13 Quadratic Optimization II: Dynamic Response -- 13.1 Dynamic Response:
Generalities -- 13.2 Example 1 : First-Order System -- 13.3 Example 2: Second-Order System -- 13.4 Hamiltoman Matrix -- 13.5 Asymptotic Root Locus: Single Input System -- 13.6 Asymptotic Root Locus: Multivariable System -- 13.7 Upper
and Lower Bounds on P0 -- 13.8 Stability Margin. Gain Margin -- 13.9 Return Difference Relations -- 13.10 Applicability of Quadratic Optimization -- 13.11 Exercises -- 13.12 Notes and References -- References -- Relational and
Operational Symbols -- Letter Symbols -- Synthesis Problems
ISBN:9781461210825
Series:eBooks
Series:SpringerLink (Online service)
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Series:Applications of Mathematics: 10
Keywords: Mathematics , System theory , Calculus of variations , Mathematics , Systems Theory, Control , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-1984-9789400963283:ONLINE Show nearby items on shelf
Title:Operator Commutation Relations Commutation Relations for Operators, Semigroups, and Resolvents with Applications to Mathematical Physics and Representations of Lie Groups
Author(s): Palle E. T Jørgensen
Date:1984
Size:1 online resource (493 p.)
Note:10.1007/978-94-009-6328-3
Contents:I: Some Main Results on Commutator Identities -- 1. Introduction and Survey -- 2. The Finite-Dimensional Commutation Condition -- II: Commutation Relations and Regularity Properties for Operators in the Enveloping Algebra of
Representations of Lie Groups -- 3. Domain Regularity and Semigroup Commutation Relations -- 4. Invariant-Domain Commutation Theory applied to the Mass-Splitting Principle -- III: Conditions for a System of Unbounded Operators to
Satisfy a given Commutation Relation -- 5. Graph-Density applied to Resolvent Commutation, and Operational Calculus -- 6. Graph-Density Applied to Semigroup Commutation Relations -- 7. Construction of Globally Semigroup-invariant
C?-domains -- IV: Conditions for a Lie Algebra of Unbounded Operators to Generate a Strongly Continuous Representation of the Lie Group -- 8. Integration of Smooth Operator Lie Algebras -- 9. Exponentiation and Bounded Perturbation of
Operator Lie Algebras -- Appendix to Part IV -- V: Lie Algebras of Vector Fields on Manifolds -- 10. Applications of Commutation Theory to Vector-Field Lie Algebras and Sub- Laplacians on Manifolds -- VI: Derivations on Modules of
Unbounded Operators with Applications to Partial Differential Operators on Riemann Surfaces -- 11. Rigorous Analysis of Some Commutator Identities for Physical Observables -- Appendix to Part VI -- VII: Lie Algebras of Unbounded
Operators: Perturbation Theory, and Analytic Continuation of s?(2, ?)-Modules -- 12. Exponentiation and Analytic Continuation of Heisenberg-Matrix Representations for s?(2, ?) -- Appendix to Part VII -- General Appendices -- Appendix
A. The Product Rule for Differentiable Operator Valued Mappings -- Appendix B. A Review of Semigroup Folklore, and Integration in Locally Convex Spaces -- Appendix C. The Square of an Infinitesimal Group Generator -- Appendix E.
Compact Perturbations of Semigroups -- Appendix G. Bounded Elements in Operator Lie Algebras -- References -- References to Ouotations -- List of Symbols
ISBN:9789400963283
Series:eBooks
Series:SpringerLink (Online service)
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Series:Mathematics and Its Applications : 14
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1984-9781461251880:ONLINE Show nearby items on shelf
Title:Ordinary Differential Equations in Rn Problems and Methods
Author(s): L. C Piccinini
Date:1984
Size:1 online resource (385 p.)
Note:10.1007/978-1-4612-5188-0
Contents:I Existence and Uniqueness for the Initial Value Problem Under the Hypothesis of Lipschitz -- 1. General Results -- 2. Qualitative Properties of Solutions -- 3. Solutions as Functions of the Initial Data -- 4. Systems of Equations as
Particular Transformations Between Function Spaces -- 5. Exercises -- 6. Bibliographical Notes -- II Linear Systems -- 1. Elements of Linear Algebra -- 2. Linear Systems of Ordinary Differential Equations -- 3. Operational Calculus --
4. Linear Finite Differences Equations -- 5. Examples -- 6. Bibliography -- III Existence and Uniqueness for the Cauchy Problem Under the Condition of Continuity -- 1. Existence Theorem -- 2. The Peano Phenomenon -- 3. Questions of
Uniqueness -- 4. Elements of G-Convergence -- 5. Bibliographical Notes -- IV Boundary Value Problems -- 1. Continuous Mappings on Euclidean Spaces -- 2. Geometric Boundary Value Problems -- 3. Sturm-Liouvilie Problems: Eigenvalues and
Existence and Uniqueness Theorems -- 4. Periodic Solutions -- 5. Functional Boundary Value Problems -- 6. Bibliographical Notes -- V Questions of Stability -- 1. Stability of the Solutions of Linear Systems -- 2. Some Methods for the
Determination of the Stability of Nonlinear Systems -- 3. Some Applications -- 4. The Method of Runge and Kutta -- 5. Bibliographical Notes
ISBN:9781461251880
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Mathematical Sciences: 39
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1984-9781461211181:ONLINE Show nearby items on shelf
Title:Operational Calculus A Theory of Hyperfunctions
Author(s): K Yosida
Date:1984
Size:1 online resource (170 p.)
Note:10.1007/978-1-4612-1118-1
Contents:I. Integration Operator h and Differentiation Operator s (Classes of Hyperfunctions: C and CH) -- I. Introduction of the Operator h Through the Convolution Ring C -- II. Introduction of the Operator s Through the Ring CH -- III.
Linear Ordinary Differential Equations with Constant Coefficients -- IV. Fractional Powers of Hyperfunctions h, s and $$\frac{I}{{S - \alpha }}$$ -- V. Hyperfunctions Represented by Infinite Power Series in h -- II. Linear Ordinary
Differential Equations with Linear Coefficients (The Class C/C of Hyperfunctions) -- VI. The Titchmarsh Convolution Theorem and the Class C/C -- VII. The Algebraic Derivative Applied to Laplace’s Differential Equation -- III. Shift
Operator exp(??s) and Diffusion Operator exp(??s1/2) -- VIII. Exponential Hyperfunctions exp(??s) and exp(??s1/2) -- IV. Applications to Partial Differential Equations -- IX. One DimensionaL Wave Equation -- X. Telegraph Equation -- X.
(cont.) -- XI. Heat Equation -- Answers to Exercises -- Formulas and Tables -- References -- Propositions and Theorems in Sections
ISBN:9781461211181
Series:eBooks
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Series:Applied Mathematical Sciences: 55
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis , Mathematics, general
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Call number:SPRINGER-1983-9783540386667:ONLINE Show nearby items on shelf
Title:Spectral Theory of Banach Space Operators Ck-classification, abstract Volterra operators, similarity, spectrality, local spectral analysis
Author(s): Shmuel Kantorovitz
Date:1983
Size:1 online resource (182 p.)
Note:10.1007/BFb0064288
Contents:Operational calculus -- Examples -- First reduction -- Second reduction -- Volterra elements -- The family S+?V -- Convolution operators in Lp -- Some regular semigroups -- Similarity -- Spectral analysis -- The family S+?V, S
unbounded -- Similarity (continued) -- Singular Cn-operators -- Local analysis
ISBN:9783540386667
Series:eBooks
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Series:Lecture Notes in Mathematics: 1012
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1982-9783540389736:ONLINE Show nearby items on shelf
Title:Harmonic Analysis Proceedings of a Conference Held at the University of Minnesota, Minneapolis, April 20–30, 1981
Author(s):
Date:1982
Size:1 online resource (328 p.)
Note:10.1007/BFb0093277
Contents:Status of classification of irreducible unitary representations -- A conjecture of Littlewood, a question of Lusin, and a principle of Fourier transform behavior -- Bieberbach’s conjecture for tourists -- Muckenhoupt’s weights in some
boundary problems of a complex variable -- Weighted norm inequalities and vector valued inequalities -- Two weight norm inequalities for certain maximal and integral operators -- Weights in ergodic theory -- Majorized toeplitz forms
and weighted inequalities with general norms -- Dilation of generalized Toeplitz kernels and some vectorial moment and weighted problems -- A new interpolation theorem -- A note on interpolation spaces -- A note on the almost
everywhere behavior of solutions to the Schrödinger equation -- Examples of twisted convolution operators -- Calderón-Zygmund kernels on nilpotent lie groups -- Multipliers of Lp and the operational calculus -- Fourier transform
estimates -- HP and BMO regular martingales -- A weak spectral synthesis property for Hardy and Lipschitz spaces -- The dyadic special atom space -- Extension of Stein’s Llog L result to the closed interval -- On the almost everywhere
convergence of Bochner-Riesz means of multiple Fourier series -- A note on the almost everywhere convergence of Bochner-Riesz means of multiple conjugate Fourier series
ISBN:9783540389736
Series:eBooks
Series:SpringerLink (Online service)
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Series:Lecture Notes in Mathematics: 908
Keywords: Mathematics , Topological groups , Lie groups , Mathematics , Topological Groups, Lie Groups
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Call number:SPRINGER-1981-9781461332282:ONLINE Show nearby items on shelf
Title:Current Issues in Quantum Logic
Author(s):
Date:1981
Size:1 online resource (502 p.)
Note:10.1007/978-1-4613-3228-2
Contents:1: Classification of Different Areas of Quantum Logic, and Open Problems -- Classification of different areas of work afferent to quantum logic -- Assumptions and interpretations of quantum logic -- 2: Comparison and Unification of
Different Approaches to Quantum Theories Problems of Interpretation -- What are quantum logics and what ought they to be? -- Charting the labyrinth of quantum logics: a progress report -- Realism and quantum logic -- What does quantum
logic explain? -- A new approach to equivalence in quantum logic -- How to rewrite a stochastic dynamical theory so as to generate a measurement paradox -- The quantum logical and the operational description for physical systems -- 3:
Formal Quantum Logic Axiomatics -- Partial referential matrices for quantum logics -- Some metalogical pathologies of quantum logic -- Quantum logic as an extension of classical logic -- Sequential quantum logic -- Entailment and
Quantum Logic -- Some problems and methods in formal quantum logic -- 4: Modal Interpretations of Quantum Logic -- A modal interpretation of quantum mechanics -- The dialogic approach to modalities in the language of quantum physics --
The inner language of operational quantum mechanics -- 5: Quantum Set Theory -- Quantum set theory -- Quantum sets, assemblies and plexi -- Omologic as a Hilbert type calculus -- Measure and integration in quantum set theory -- 6:
Advances Concerning Mathematical Structure Other Problems -- Commutativity and generalized transition probability in quantum logic -- Representations of Baer *-semigroups and quantum logics in Hilbert space -- A non-standard quantum
logic with a strong set of states -- Description of compound physical systems and logical interaction of physical systems -- Products of logics -- Space time structure from quantum logic -- Causal logic of Minkowski space-time --
Propositional systems in field theories and lattice-valued quantum logics -- Non-linear integration and signed measures on von Neumann algebras -- On the inter-relations of the three quantal principles -- On the non-unique
decomposability of quantum mixtures -- Motion and form -- Participants -- Author Index
ISBN:9781461332282
Series:eBooks
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Keywords: Physics , Quantum physics , Physics , Quantum Physics
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Call number:SPRINGER-1980-9781489967657:ONLINE Show nearby items on shelf
Title:The Radon Transform
Author(s): Sigurdur Helgason
Date:1980
Size:1 online resource (193 p.)
Note:10.1007/978-1-4899-6765-7
ISBN:9781489967657
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 5
Keywords: Mathematics , Integral transforms , Operational calculus , Biomathematics , Mathematics , Integral Transforms, Operational Calculus , Signal, Image and Speech Processing , Physiological, Cellular and Medical Topics
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Call number:SPRINGER-1980-9781468491548:ONLINE Show nearby items on shelf
Title:The Weil representation, Maslov index and Theta series
Author(s): Gérard Lion
Date:1980
Size:1 online resource (337 p.)
Note:10.1007/978-1-4684-9154-8
ISBN:9781468491548
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 6
Keywords: Mathematics , Topological groups , Lie groups , Fourier analysis , Integral transforms , Operational calculus , Number theory , Mathematics , Topological Groups, Lie Groups , Number Theory , Fourier Analysis , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1978-9781468433128:ONLINE Show nearby items on shelf
Title:Applied Mathematics An Intellectual Orientation
Author(s): Francis J Murray
Date:1978
Size:1 online resource (225 p.)
Note:10.1007/978-1-4684-3312-8
Contents:1. Introduction -- 1.1. Vocational Aspects -- 1.2. Intellectual Attitudes -- 1.3. Opportunities in Applied Mathematics -- 1.4. Course Objectives -- Exercises -- 2. Simulations -- 2.1. Organized Efforts -- 2.2. Staging -- 2.3.
Simulations -- 2.4. Influence Block Diagram and Math Model -- 2.5. Temporal Patterns -- 2.6. Operational Flight Trainer -- 2.7. Block Diagrams -- 2.8. Equipment -- 2.9. The Time Pattern of the Simulation -- 2.10. Programming -- 2.11.
Management Considerations -- 2.12. Validity -- Exercises -- References -- 3. Understanding and Mathematics -- 3.1. Experience and Understanding -- 3.2. Unit Experience -- 3.3. The Exact Sciences -- 3.4. Scientific Understanding -- 3.5.
Logic and Arithmetic -- 3.6. Algebra -- 3.7. Axiomatic Developments -- 3.8. Analysis -- 3.9. Modern Formal Logic -- 3.10. Pure and Applied Mathematics -- 3.11. Vocational Aspects -- Exercises -- References -- 4. Ancient Mathematics --
4.1. Ancient Arithmetic -- 4.2. Egyptian Mathematics -- 4.3. Babylonian Mathematics -- 4.4. Greece -- 4.5. Euclid’s Elements -- 4.6. Magnitudes -- 4.7. Geometry and Philosophy -- 4.8. The Conic Sections -- 4.9. Parabolic Areas --
Exercises -- References -- 5. Transition and Developments -- 5.1. Algebra -- 5.2. Non-Euclidean Geometry -- 5.3. Geometric Developments -- 5.4. Geometry and Group Theory -- 5.5. Arithmetic -- 5.6. The Celestial Sphere -- 5.7. The
Motion of the Sun -- 5.8. Synodic Periods -- 5.9. Babylonian Tables -- 5.10. Geometric Formulations -- 5.11. Astronomical Experience in Terms of Accuracy -- 5.12. Optical Instruments and Developments -- Exercises -- References -- 6.
Natural Philosophy -- 6.1. Analysis -- 6.2. The Calculus -- 6.3. The Transformation of Mathematics -- 6.4. The Method of Fluxions -- 6.5. The Behavior of Substance in the Eulerian Formulation -- 6.6. The Generalized Stokes’ Theorem --
6.7. The Calculus of Variations -- 6.8. Dynamics -- 6.9. Manifolds -- 6.10. The Weyl Connection -- 6.11. The Riemannian Metric -- Exercises -- References -- 7. Energy -- 7.1. The Motion of Bodies -- 7.2. The Stress Tensor -- 7.3.
Deformation and Stress -- 7.4. An Elastic Collision -- 7.5. Thermodynamic States and Reversibility -- 7.6. Thermodynamic Functions -- 7.7. The Carnot Cycle and Entropy -- 7.8. The Relation with Applied Mathematics -- Exercises --
References -- 8. Probability -- 8.1. The Development of Probability -- 8.2. Applications -- 8.3. Probability and Mechanics -- 8.4. Relation to Thermodynamics -- 8.5. The Fine Structure of Matter -- 8.6. Analysis -- Exercises --
References -- 9. The Parado -- 9.1. Intellectual Ramifications -- 9.2. The Paradox -- 9.3. Final Comment -- Exercises -- References
ISBN:9781468433128
Series:eBooks
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Series:Mathematical Concepts and Methods in Science and Engineering : 12
Keywords: Science , Science, general , Science, general
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Call number:SPRINGER-1976-9781475738780:ONLINE Show nearby items on shelf
Title:Banach Algebras and Several Complex Variables
Author(s): John Wermer
Date:1976
Edition:Second Edition
Size:1 online resource (161 p.)
Note:10.1007/978-1-4757-3878-0
Contents:1. Preliminaries and Notations -- 2. Classical Approximation Theorems -- 3. Operational Calculus in One Variable -- 4. Differential Forms -- 5. The ??-Operator -- 6. The Equation ??u = ƒ -- 7. The Oka—Weil Theorem -- 8. Operational
Calculus in Several Variables -- 9. The Šilov Boundary -- 10. Maximality and Radó’s Theorem -- 11. Analytic Structure -- 12. Algebras of Analytic Functions -- 13. Approximation on Curves in Cn -- 14. Uniform Approximation on Disks in
Cn -- 15. The First Cohomology Group of a Maximal Ideal Space -- 16. The ??-Operator in Smoothly Bounded Domains -- 17. Manifolds without Complex Tangents -- 18. Submanifolds of High Dimension -- 19. Generators -- 20. The Fibers over a
Plane Domain -- 21. Examples of Hulls -- 22. Solutions to Some Exercises
ISBN:9781475738780
Series:eBooks
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Series:Graduate Texts in Mathematics: 35
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:SPRINGER-1975-9783540376040:ONLINE Show nearby items on shelf
Title:Differentiation of Integrals in Rn
Author(s): Miguel de Guzmán
Date:1975
Size:1 online resource (232 p.)
Note:10.1007/BFb0081986
ISBN:9783540376040
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 481
Keywords: Mathematics , Integral equations , Integral transforms , Operational calculus , Mathematics , Integral Equations , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1970-9781461343929:ONLINE Show nearby items on shelf
Title:Operational Calculus
Author(s): Gregers Krabbe
Date:1970
Size:1 online resource (349 p.)
Note:10.1007/978-1-4613-4392-9
ISBN:9781461343929
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Science , Mathematical analysis , Analysis (Mathematics) , Integral transforms , Operational calculus , Mathematics , Analysis , Integral Transforms, Operational Calculus , Science, general
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Call number:SPRINGER-1966-9783642859977:ONLINE Show nearby items on shelf
Title:Contributions to Functional Analysis
Author(s): Harro Heuser
Date:1966
Size:1 online resource (533 p.)
Note:10.1007/978-3-642-85997-7
Contents:Time Dependent Evolution Equations in a Locally Convex Space -- On a Map from a Function Space to a Hyperspace -- Invariant Metrics -- Über den Index abgeschlossener Operatoren in Banachräumen. II. -- Complementary Inequalities. III: Inequalities Complementary to Schwarz’s Inequality in Hilbert Space -- Von Klassen konvexer Körper erzeugte Hilberträume -- Kommutative symmetrische Operatorenalgebren in Pontryaginschen Räumen ?k -- Invariante positiv definite Klassenfunktionen und ergodische Ma ße -- Integration und holomorphe Funktionen in lokalbeschränkten Räumen -- Eine Mandelbrojtsche Formel zur Bestimmung von Punkten aus dem Spektrum eines beschränkten Operators -- Quasi-interior Points and the Extension of Linear Functionals -- Eindeut ige Hahn-Banach-Erweiterungen -- Équations Hyperboliques Non-Strictes: Contre-Exemples, du Type de Giorgi, aux Théorèmes d’Existence et d’Unicité -- Ratios of Laplace Transforms, Mikusi?ski Operational Calculus -- Heredity of Tensor Products of
Topological Algebras -- Wave Operators and Similarity for Some Non-selfadjoint Operators -- Nonlinear Operators in Banach Spaces -- Über die Einbettung der nuklearen Räume in (8)?. -- Über das Randspektrum positiver Operatoren -- A Spectral Theor y for Certain Operators on a Direct Sum of Hilbert Spaces -- Variations on a Theme by Mikhlin -- Some Examples of Normed Köthe Spaces -- On a Generalization of the Köthe Coordinated Spaces -- A Representation Theorem for Positive Functionals on Involuti on Algebras
ISBN:9783642859977
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Science , Functional analysis , Mathematics , Functional Analysis , Science, general
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Call number:SPRINGER-1966-9783642460302:ONLINE Show nearby items on shelf
Title:The Mathematical Apparatus for Quantum-Theories Based on the Theory of Boolean Lattices
Author(s): Otton Martin Nikodým
Date:1966
Size:1 online resource (952 p.)
Note:10.1007/978-3-642-46030-2
Contents:List of chapters -- A. General tribes (Boolean lattices) -- A I. Special theorems on Boolean lattices -- B. Important auxiliaries -- B I. General theory of traces -- C. The tribe of figures on the plane -- C I. The trace-theorem -- D. The lattice of subspaces of the Hilbert-Hermite space -- D I. Tribes of spaces -- E. Double scale of spaces -- F. Linear operators permutable with a projector -- G. Some double Stieltjes’ and Radon’s integrals -- H. Maximal normal operator and its canonical represe ntation -- J. Operators $$N\text{ }\dot{f}\left( {\dot{x}} \right)\text{ = }{}_{df}\phi \text{ }\left( {\dot{x}} \right)\text{ }\cdot \text{ }\dot{f}\left( {\dot{x}} \right)$$ for ordinary functions f -- J I. Operational calculus on general maximal normal operators -- K. Theorems on normal operators and on related canonical mapping -- L. Some classical theorems on normal and selfadjoint operators -- M. Multiplicity of spectrum of maximal normal operators -- N. Some items of operational calculus
with application to the resolvent and spectrum of normal operators -- P. Tribe of repartition of functions -- P I. Permutable normal operators -- Q. Approximation of somata by complexes -- Q I. Vector fields on the tribe and their summation -- R. Qu asi-vectors and their summation -- R I. Summation of quasi-vectors in the separable and complete Hilbert-Hermite-space -- S. General orthogonal system of coordinates in the separable and complete Hilbert-Hermite-space -- T. Dirac’s Delta-function -- U. Auxiliaries for a deeper study of summation of scalar fields -- W. Upper and lower (DARS)-summation of fields of real numbers in a Boolean tribe in the absence of atoms -- W I. Upper and lower summation in the general case. Complete admissibility. Square summability of fields of numbers -- References -- Alphabetical index
ISBN:9783642460302
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete: 129
Keywords: Mathematics , Mathematics , Mathematics, general
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Call number:SPRINGER-1966-9783540699521:ONLINE Show nearby items on shelf
Title:Multiple Integrals in the Calculus of Variations
Author(s): Charles B Morrey
Date:1966
Size:1 online resource (506 p.)
Note:10.1007/978-3-540-69952-1
Contents:Semi-classical results -- The spaces Hmp and Hmp0 -- Existence theorems -- Differentiability of weak solutions -- Regularity theorems for the solutions of general elliptic systems and boundary value problems -- A variational method in the theory of harmonic integrals -- The -Neumann problem on strongly pseudo-convex manifolds -- to parametric Integrals two dimensional problems -- The higher dimensional plateau problems
ISBN:9783540699521
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften: 130
Keywords: Mathematics , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus , Mathematics, general
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Call number:SPRINGER-1963-9783642461750:ONLINE Show nearby items on shelf
Title:Linear Partial Differential Operators
Author(s): Lars Hörmander
Date:1963
Size:1 online resource (288 p.)
Note:10.1007/978-3-642-46175-0
Contents:I: Functional analysis -- I. Distribution theory -- II. Some special spaces of distributions -- II: Differential operators with constant coefficients -- III. Existence and approximation of solutions of differential equations -- IV. Interior regular ity of solutions of differential equations -- V. The Cauchy problem (constant coefficients) -- III: Differential operators with variable coefficients -- VI. Differential equations which have no solutions -- VII. Differential operators of constant strength -- VIII. Differential operators with simple characteristics -- IX. The Cauchy problem (variable coefficients) -- X. Elliptic boundary problems -- Appendix. Some algebraic lemmas -- Index of notations
ISBN:9783642461750
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete: 116
Keywords: Mathematics , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Mathematics , Partial Differential Equations , Operator Theory , Integral Transforms, Operational Calculus
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Call number:QA432.L3::1996 Show nearby items on shelf
Title:Linear differential operators
Author(s): Cornelius Lanczos
Date:1996
Publisher:Philadelphia : SIAM
Size:564 p
Note:Originally published New York : Van Nostrand, 1961
ISBN:0898713706
Series:Classics in applied mathematics, 18
Keywords: Calculus, Operational. , Differential equations, Linear.
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Call number:QA432.E67::1962 Show nearby items on shelf
Title:Operational calculus and generalized functions
Author(s): Arthur Erdelyi
Date:1962
Publisher:New York : Holt, Rinehart and Winston
Size:103 p.
Contents:The Algebra of Convolution Quotients, Applications to Differential and Integral Equations, Convergence of Convolution Quotients, Operator Functions, Differential Equations for Operator Functions, Exponential Functions, The One-dimensional Wave Equation, The One-dimensional Diffusion Equation
Series:Athena series
Keywords: Calculus, Operational
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Call number:QA432.C238::1948 Show nearby items on shelf
Title:Operational methods in applied mathematics, by H. S. Carslaw and J. C. Jaeger.
Author(s): Horatio Scott Carslaw 1870-1954
J.C. Jaeger
Date:1948
Edition:2d ed.
Publisher:Oxford University Press, London
Size:359
Keywords: Calculus, Operational.
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Call number:QA312.J54::2000 Show nearby items on shelf
Title:The Feynman integral and Feynman's operational calculus
Author(s): Gerald W. Johnson 1939-
Michel L. Lapidus
Date:2000
Publisher:Clarendon Press, Oxford
Size:771
ISBN:0198535740
Series:Oxford mathematical monographs v. 114
Keywords: Feynman integrals.
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