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SPIRES-BOOKS: FIND KEYWORD SEQUENCES,SERIES,SUMMABILITY *END*INIT* use /tmp/qspiwww.webspi1/16762.88 QRY 131.225.70.96 . find keyword sequences,series,summability ( in books using www Cover
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Call number:SPRINGER-2016-9789811009136:ONLINE Show nearby items on shelf
Title:Current Topics in Summability Theory and Applications
Author(s):
Date:2016
Size:1 online resource (431 p.)
Note:10.1007/978-981-10-0913-6
Contents:Chapter 1. An Introduction to Summability Methods -- Chapter 2. Some Topics in Summability Theory -- Chapter 3. Summability and Convergence using Ideals -- Chapter 4. Convergence Acceleration and Improvement by Regular Matrices -- Chapter 5. On Sum mability, Multipliability and Integrability -- Chapter 6. Multi-dimensional Summability Theory and Continuous Wavelet Transform -- Chapter 7. Absolute Riesz and Related Summability Methods -- Chapter 8. Some Applications of Summability Theory -- Chapter 9 . Degree of Approximation of Functions through Summability Methods
ISBN:9789811009136
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Functional Analysis , Approximations and Expansions
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Call number:SPRINGER-2016-9783319290751:ONLINE Show nearby items on shelf
Title:Divergent Series, Summability and Resurgence II Simple and Multiple Summability
Author(s): Michèle Loday-Richaud
Date:2016
Size:1 online resource (272 p.)
Note:10.1007/978-3-319-29075-1
Contents:Avant-propos -- Preface to the three volumes -- Introduction to this volume -- 1 Asymptotic Expansions in the Complex Domain -- 2 Sheaves and Čech cohomology -- 3 Linear Ordinary Differential Equations -- 4 Irregularity and Gevrey Index Theorems - - 5 Four Equivalent Approaches to k-Summability -- 6 Tangent-to-Identity Diffeomorphisms -- 7 Six Equivalent Approaches to Multisummability -- Exercises -- Solutions to Exercises -- Index -- Glossary of Notations -- References
ISBN:9783319290751
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2154
Keywords: Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Difference and Functional Equations , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9783319290003:ONLINE Show nearby items on shelf
Title:Divergent Series, Summability and Resurgence III Resurgent Methods and the First Painlevé Equation
Author(s): Eric Delabaere
Date:2016
Size:1 online resource (14 p.)
Note:10.1007/978-3-319-29000-3
Contents:Avant-Propos -- Preface to the three volumes -- Preface to this volume -- Some elements about ordinary differential equations -- The first Painlevé equation -- Tritruncated solutions for the first Painlevé equation -- A step beyond Borel-Laplace summability -- Transseries and formal integral for the first Painlevé equation -- Truncated solutions for the first Painlevé equation -- Supplements to resurgence theory -- Resurgent structure for the first Painlevé equation -- Index
ISBN:9783319290003
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2155
Keywords: Mathematics , Functions of complex variables , Differential equations , Sequences (Mathematics) , Special functions , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Functions of a Complex Variable , Special Functions
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Call number:SPRINGER-2016-9783319284002:ONLINE Show nearby items on shelf
Title:Introduction to Calculus and Classical Analysis
Author(s): Omar Hijab
Date:2016
Edition:4th ed. 2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-28400-2
Contents:Preface -- A Note to the Reader -- 1. The Set of Real Numbers -- 2. Continuity -- 3. Differentiation.-4. Integration -- 5. Applications -- 6. Generalizations -- A. Solutions -- References -- Index
ISBN:9783319284002
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Sequences (Mathematics) , Special functions , Combinatorics , Mathematics , Approximations and Expansions , Sequences, Series, Summability , Special Functions , Combinatorics
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Call number:SPRINGER-2014-9783319046099:ONLINE Show nearby items on shelf
Title:Applied Summability Methods [electronic resource]
Author(s): M Mursaleen
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrixtransformations, regular matric es and some special matrices, making the material accessible to mathematicians who are new to the subject.Among the coreitems covered are the proof of the Prime Number Theorem using Lambert'ssummability and Wiener's Tauberian theorem, some results on summ ability tests for singular points of an analytic function, andanalytic continuation through Lototski summability.Almost summability is introduced to proveKorovkin-type approximation theorems and the last chapters feature statistical summability, statistic al approximation, and some applications of summability methods in fixed point theorems
Contents:Toeplitz Matrices
Lambert Summability and the Prime Number Theorem
Summability Tests for Singular Points
Lototski Summability and Analytic Continuation
Summability Methods for Random Variables
Almost Summability
Almost Summability of Taylor Series
Matrix Summability of Fourier and Walsh
Fourier Series
Almost Convergence in Approximation Process
Statistical Summability
Statistical Approximation
Applications to fixed point theorems
Bibliography
Index
ISBN:9783319046099
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Sequences (Mathematics) , Number theory
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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-2004-9781402028762:ONLINE Show nearby items on shelf
Title:Fourier Analysis and Approximation of Functions
Author(s): Roald M Trigub
Date:2004
Size:1 online resource (586 p.)
Note:10.1007/978-1-4020-2876-2
Contents:1. Representation Theorems -- 1.1 Theorems on representation at a point -- 1.2 Integral operators. Convergence in Lp-norm and almost everywhere -- 1.3 Multidimensional case -- 1.4 Further problems and theorems -- 1.5 Comments to
Chapter 1 -- 2. Fourier Series -- 2.1 Convergence and divergence -- 2.2 Two classical summability methods -- 2.3 Harmonic functions and functions analytic in the disk -- 2.4 Multidimensional case -- 2.5 Further problems and theorems --
2.6 Comments to Chapter 2 -- 3. Fourier Integral -- 3.1 L-Theory -- 3.2 L2-Theory -- 3.3 Multidimensional case -- 3.4 Entire functions of exponential type. The Paley-Wiener theorem -- 3.5 Further problems and theorems -- 3.6 Comments
to Chapter 3 -- 4. Discretization. Direct and Inverse Theorems -- 4.1 Summation formulas of Poisson and Euler-Maclaurin -- 4.2 Entire functions of exponential type and polynomials -- 4.3 Network norms. Inequalities of different metrics
-- 4.4 Direct theorems of Approximation Theory -- 4.5 Inverse theorems. Constructive characteristics. Embedding theorems -- 4.6 Moduli of smoothness -- 4.7 Approximation on an interval -- 4.8 Further problems and theorems -- 4.9
Comments to Chapter 4 -- 5. Extremal Problems of Approximation Theory -- 5.1 Best approximation -- 5.2 The space Lp. Best approximation -- 5.3 Space C. The Chebyshev alternation -- 5.4 Extremal properties for algebraic polynomials and
splines -- 5.5 Best approximation of a set by another set -- 5.6 Further problems and theorems -- 5.7 Comments to Chapter 5 -- 6. A Function as the Fourier Transform of A Measure -- 6.1 Algebras A and B. The Wiener Tauberian theorem --
6.2 Positive definite and completely monotone functions -- 6.3 Positive definite functions depending only on a norm -- 6.4 Sufficient conditions for belonging to Ap and A* -- 6.5 Further problems and theorems -- 6.6 Comments to Chapter
6 -- 7. Fourier Multipliers -- 7.1 General properties -- 7.2 Sufficient conditions -- 7.3 Multipliers of power series in the Hardy spaces -- 7.4 Multipliers and comparison of summability methods of orthogonal series -- 7.5 Further
problems and theorems -- 7.6 Comments to Chapter 7 -- 8. Summability Methods. Moduli of Smoothness -- 8.1 Regularity -- 8.2 Applications of comparison. Two-sided estimates -- 8.3 Moduli of smoothness and K-functionals -- 8.4 Moduli of
smoothness and strong summability in Hp(D), 0erences -- Author Index -- Topic Index
ISBN:9781402028762
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Fourier analysis , Functional analysis , Measure theory , Sequences (Mathematics) , Mathematics , Approximations and Expansions , Fourier Analysis , Sequences, Series, Summability , Measure and Integration , Functional Analysis
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Call number:SPRINGER-2003-9789401703994:ONLINE Show nearby items on shelf
Title:Handbook of Means and Their Inequalities
Author(s): P. S Bullen
Date:2003
Size:1 online resource (538 p.)
Note:10.1007/978-94-017-0399-4
Contents:I Introduction -- II The Arithmetic, Geometric and Harmonic Means -- III The Power Means -- IV Quasi-Arithmetic Means -- V Symmetric Polynomial Means -- VI Other Topics -- Books -- Papers -- Name Index
ISBN:9789401703994
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 560
Keywords: Mathematics , Approximation theory , Functions of real variables , Sequences (Mathematics) , Applied mathematics , Engineering mathematics , Statistics , Mathematics , Real Functions , Sequences, Series, Summability , Approximations and Expansions , Statistics, general , Applications of Mathematics
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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-2003-9780857293473:ONLINE Show nearby items on shelf
Title:A Concise Approach to Mathematical Analysis
Author(s): Mangatiana A Robdera
Date:2003
Size:1 online resource (362 p.)
Note:10.1007/978-0-85729-347-3
Contents:Numbers and Functions -- Real Numbers -- Subsets of ? -- Variables and Functions -- Sequences -- Definition of a Sequence -- Convergence and Limits -- Subsequences -- Upper and Lower Limits -- Cauchy Criterion -- 3. Series -- Infinite
Series -- Conditional Convergence -- Comparison Tests -- Root and Ratio Tests -- Further Tests -- 4. Limits and Continuity -- Limits of Functions -- Continuity of Functions -- Properties of Continuous Functions -- Uniform Continuity --
Differentiation -- Derivatives -- Mean Value Theorem -- L'Hôspital's Rule -- Inverse Function Theorems -- Taylor's Theorem -- Elements of Integration -- Step Functions -- Riemann Integral -- Functions of Bounded Variation --
Riemann-Stieltjes Integral -- Sequences and Series of Functions -- Sequences of Functions -- Series of Functions -- Power Series -- Taylor Series -- Local Structure on the Real Line -- Open and Closed Sets in ? -- Neighborhoods and
Interior Points -- Closure Point and Closure -- Completeness and Compactness -- Continuous Functions -- Global Continuity -- Functions Continuous on a Compact Set -- Stone—Weierstrass Theorem -- Fixed-point Theorem -- Ascoli-Arzelà
Theorem -- to the Lebesgue Integral -- Null Sets -- Lebesgue Integral -- Improper Integral -- Important Inequalities -- Elements of Fourier Analysis -- Fourier Series -- Convergent Trigonometric Series -- Convergence in 2-mean --
Pointwise Convergence -- A. Appendix -- A.1 Theorems and Proofs -- A.2 Set Notations -- A.3 Cantor's Ternary Set -- A.4 Bernstein's Approximation Theorem -- B. Hints for Selected Exercises
ISBN:9780857293473
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Difference equations , Functional equations , Fourier analysis , Functions of real variables , Sequences (Mathematics) , Mathematics , Analysis , Real Functions , Difference and Functional Equations , Fourier Analysis , Sequences, Series, Summability
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Call number:SPRINGER-2003-9780817682323:ONLINE Show nearby items on shelf
Title:Basic Real Analysis
Author(s): Houshang H Sohrab
Date:2003
Size:1 online resource (559 p.)
Note:10.1007/978-0-8176-8232-3
Contents:1 Set Theory -- 1.1 Rings and Algebras of Sets -- 1.2 Relations and Functions -- 1.3 Basic Algebra, Counting, and Arithmetic -- 1.4 Infinite Direct Products, Axiom of Choice, and Cardinal Numbers -- 1.5 Problems -- 2 Sequences and
Series of Real Numbers -- 2.1 Real Numbers -- 2.2 Sequences in ? -- 2.3 Infinite Series -- 2.4 Unordered Series and Summability -- 2.5 Problems -- 3 Limits of Functions -- 3.1 Bounded and Monotone Functions -- 3.2 Limits of Functions
-- 3.3 Properties of Limits -- 3.4 One-sided Limits and Limits Involving Infinity -- 3.5 Indeterminate Forms, Equivalence, Landau’s Little “oh” and Big “Oh” -- 3.6 Problems -- 4 Topology of ? and Continuity -- 4.1 Compact and Connected
Subsets of ? -- 4.2 The Cantor Set -- 4.3 Continuous Functions -- 4.4 One-sided Continuity, Discontinuity, and Monotonicity -- 4.5 Extreme Value and Intermediate Value Theorems -- 4.6 Uniform Continuity -- 4.7 Approximation by Step,
Piecewise Linear, and Polynomial Functions -- 4.8 Problems -- 5 Metric Spaces -- 5.1 Metrics and Metric Spaces -- 5.2 Topology of a Metric Space -- 5.3 Limits, Cauchy Sequences, and Completeness -- 5.4 Continuity -- 5.5 Uniform
Continuity and Continuous Extensions -- 5.6 Compact Metric Spaces -- 5.7 Connected Metric Spaces -- 5.8 Problems -- 6 The Derivative -- 6.1 Differentiability -- 6.2 Derivatives of Elementary Functions -- 6.3 The Differential Calculus
-- 6.4 Mean Value Theorems -- 6.5 L’Hôpital’s Rule -- 6.6 Higher Derivatives and Taylor’s Formula -- 6.7 Convex Functions -- 6.8 Problems -- 7 The Riemann Integral -- 7.1 Tagged Partitions and Riemann Sums -- 7.2 Some Classes of
Integrable Functions -- 7.3 Sets of Measure Zero and Lebesgue’s Integrability Criterion -- 7.4 Properties of the Riemann Integral -- 7.5 Fundamental Theorem of Calculus -- 7.6 Functions of Bounded Variation -- 7.7 Problems -- 8
Sequences and Series of Functions -- 8.1 Complex Numbers -- 8.2 Pointwise and Uniform Convergence -- 8.3 Uniform Convergence and Limit Theorems -- 8.4 Power Series -- 8.5 Elementary Transcendental Functions -- 8.6 Fourier Series -- 8.7
Problems -- 9 Normed and Function Spaces -- 9.1 Norms and Normed Spaces -- 9.2 Banach Spaces -- 9.3 Hilbert Spaces -- 9.4 Function Spaces -- 9.5 Problems -- 10 The Lebesgue Integral (F. Riesz’s Approach) -- 10.1 Improper Riemann
Integrals -- 10.2 Step Functions and Their Integrals -- 10.3 Convergence Almost Everywhere -- 10.4 The Lebesgue Integral -- 10.5 Convergence Theorems -- 10.6 The Banach Space L1 -- 10.7 Problems -- 11 Lebesgue Measure -- 11.1
Measurable Functions -- 11.2 Measurable Sets and Lebesgue Measure -- 11.3 Measurability (Lebesgue’s Definition) -- 11.4 The Theorems of Egorov, Lusin, and Steinhaus -- 11.5 Regularity of Lebesgue Measure -- 11.6 Lebesgue’s Outer and
Inner Measures -- 11.7 The Hilbert Spaces L2(E, % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav %
P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaWefv3ySLgznfgDOjdarCqr1ngBPrginfgDObcv %
39gaiyaacqWFfcVraaa!47BC! $$ \mathbb{F} $$) -- 11.8 Problems -- 12 General Measure and Probability -- 12.1 Measures and Measure Spaces -- 12.2 Measurable Functions -- 12.3 Integration -- 12.4 Probability -- 12.5 Problems -- A
Construction of Real Numbers -- References
ISBN:9780817682323
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Measure theory , Functions of real variables , Mathematical logic , Mathematics , Real Functions , Analysis , Measure and Integration , Mathematical Logic and Foundations
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Call number:SPRINGER-2002-9789401731836:ONLINE Show nearby items on shelf
Title:Summability of Multi-Dimensional Fourier Series and Hardy Spaces
Author(s): Ferenc Weisz
Date:2002
Size:1 online resource (332 p.)
Note:10.1007/978-94-017-3183-6
Contents:1. Multi-Dimensional Dyadic Hardy Spaces -- 2. Multi-Dimensional Classical Hardy Spaces -- 3. Summability of D-Dimensional Walsh-Fourier Series -- 4. The D-Dimensional Dyadic Derivative -- 5. Summability of D-Dimensional
Trigonometric-Fourier Series -- 6. Summability of D-Dimensional Fourier Transforms -- 7. spline and Ciesielski Systems -- References
ISBN:9789401731836
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 541
Keywords: Mathematics , Approximation theory , Fourier analysis , Sequences (Mathematics) , Functions of complex variables , Probabilities , Mathematics , Fourier Analysis , Approximations and Expansions , Sequences, Series, Summability , Probability Theory and Stochastic Processes , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2002-9783540457145:ONLINE Show nearby items on shelf
Title:Substitutions in Dynamics, Arithmetics and Combinatorics
Author(s):
Date:2002
Size:1 online resource (404 p.)
Note:10.1007/b13861
Contents:Basic notions on substitutions -- Basic notions on substitutions -- Arithmetics and combinatorics of substitutions -- Substitutions, arithmetic and finite automata: an introduction -- Automatic sequences and transcendence --
Substitutions and partitions of the set of positive integers -- Dynamics of substitutions -- Substitutions and symbolic dynamical systems -- Sturmian Sequences -- Spectral theory and geometric representation of substitutions --
Diophantine approximations, substitutions, and fractals -- Extensions to free groups and interval transformations -- Infinite words generated by invertible substitutions -- Polynomial dynamical systems associated with substitutions --
Piecewise linear transformations of the unit interval and Cantor sets -- Some open problems -- A. Undecomposable matrices in dimension 3 (by J. Rivat)
ISBN:9783540457145
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1794
Keywords: Mathematics , Computers , Mathematical logic , Dynamics , Ergodic theory , Functions of real variables , Sequences (Mathematics) , Number theory , Mathematics , Number Theory , Real Functions , Dynamical Systems and Ergodic Theory , Sequences, Series, Summability , Computation by Abstract Devices , Mathematical Logic and Formal Languages
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Call number:SPRINGER-2002-9781475752885:ONLINE Show nearby items on shelf
Title:Functional Equations — Results and Advances
Author(s):
Date:2002
Size:1 online resource (361 p.)
Note:10.1007/978-1-4757-5288-5
Contents:I. Classical Functional Equations and Inequalities -- On some trigonometric functional inequalities -- On the continuity of additive—like functions and Jensen convex functions which are Borel on a sphere -- Note on a
functional—differential inequality -- A characterization of stationary sets for the class of Jensen convex functions -- On the characterization of Weierstrass’s sigma function -- On a Mikusi?ski—Jensen functional equation -- II.
Stability of Functional Equations -- Stability of the multiplicative Cauchy equation in ordered fields -- On approximately monomial functions -- Les opérateurs de Hyers -- Geometrical aspects of stability -- III. Functional Equations
in One Variable and Iteration Theory -- On semi-conjugacy equation for homeomorphisms of the circle -- A survey of results and open problems on the Schilling equation -- Properties of an operator acting on the space of bounded real
functions and certain subspaces -- IV. Composite Functional Equations and Theory of Means -- A Matkowski-Sutô type problem for quasi-arithmetic means of order ? -- An extension theorem for conjugate arithmetic means -- Homogeneous
Cauchy mean values -- On invariant generalized Beckenbach-Gini means -- Final part of the answer to a Hilbert’s question -- V. Functional Equations on Algebraic Structures -- A generalization of d’Alembert’s functional equation --
About a remarkable functional equation on some restricted domains -- On discrete spectral synthesis -- Hyers theorem and the cocycle property -- VI. Functional Equations in Functional Analysis -- Mappings whose derivatives are
isometries -- Localizable functionals -- Jordan maps on standard operator algebras -- VII. Bisymmetry and Associativity Type Equations on Quasigroups -- On the functional equation S1(x, y) = S2(x, T(N(x), y)) -- Generalized
associativity on rectangular quasigroups -- The aggregation equation: solutions with non intersecting partial functions
ISBN:9781475752885
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Advances in Mathematics : 3
Keywords: Mathematics , Harmonic analysis , Difference equations , Functional equations , Functional analysis , Sequences (Mathematics) , Special functions , Mathematics , Difference and Functional Equations , Sequences, Series, Summability , Functional Analysis , Abstract Harmonic Analysis , Special Functions
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Call number:SPRINGER-2002-9780817681302:ONLINE Show nearby items on shelf
Title:A Distributional Approach to Asymptotics Theory and Applications
Author(s): Ricardo Estrada
Date:2002
Edition:Second Edition
Size:1 online resource (454 p.)
Note:10.1007/978-0-8176-8130-2
Contents:1 Basic Results in Asymptotics -- 1.1 Introduction -- 1.2 Order Symbols -- 1.3 Asymptotic Series -- 1.4 Algebraic and Analytic Operations -- 1.5 Existence of Functions with a Given Asymptotic Expansion -- 1.6 Asymptotic Power Series
in a Complex Variable -- 1.7 Asymptotic Approximation of Partial Sums -- 1.8 The Euler-Maclaurin Summation Formula -- 1.9 Exercises -- 2 Introduction to the Theory of Distributions -- 2.1 Introduction -- 2.2 The Space of Distributions
D? -- 2.3 Algebraic and Analytic Operations -- 2.4 Regularization, Pseudofunction and Hadamard Finite Part -- 2.5 Support and Order -- 2.6 Homogeneous Distributions -- 2.7 Distributional Derivatives of Discontinuous Functions -- 2.8
Tempered Distributions and the Fourier Transform -- 2.9 Distributions of Rapid Decay -- 2.10 Spaces of Distributions Associated with an Asymptotic Sequence -- 2.11 Exercises -- 3 A Distributional Theory for Asymptotic Expansions -- 3.1
Introduction -- 3.2 The Taylor Expansion of Distributions -- 3.3 The Moment Asymptotic Expansion -- 3.4 Expansions in the Space P? -- 3.5 Laplace’s Asymptotic Formula -- 3.6 The Method of Steepest Descent -- 3.7 Expansion of
Oscillatory Kernels -- 3.8 Time-Domain Asymptotics -- 3.9 The Expansion of f (?x) as ? ? ? in Other Cases -- 3.10 Asymptotic Separation of Variables -- 3.11 Exercises -- 4 Asymptotic Expansion of Multidimensional Generalized Functions
-- 4.1 Introduction -- 4.2 Taylor Expansion in Several Variables -- 4.3 The Multidimensional Moment Asymptotic Expansion -- 4.4 Laplace’s Asymptotic Formula -- 4.5 Fourier Type Integrals -- 4.6 Time-Domain Asymptotics -- 4.7 Further
Examples -- 4.8 Tensor Products and Partial Asymptotic Expansions -- 4.9 An Application in Quantum Mechanics -- 4.10 Expansion of Kernels of the Type f (?x, x) -- 4.11 Exercises -- 5 Asymptotic Expansion of Certain Series Considered by
Ramanujan -- 5.1 Introduction -- 5.2 Basic Formulas -- 5.3 Lambert Type Series -- 5.4 Distributionally Small Sequences -- 5.5 Multiple Series -- 5.6 Unrestricted Partitions -- 5.7 Exercises -- 6 Cesàro Behavior of Distributions -- 6.1
Introduction -- 6.2 Summability of Series and Integrals -- 6.3 The Behavior of Distributions in the (C) Sense -- 6.4 The Cesàro Summability of Evaluations -- 6.5 Parametric Behavior -- 6.6 Characterization of Tempered Distributions --
6.7 The Space K? -- 6.8 Spherical Means -- 6.9 Existence of Regularizations -- 6.10 The Integral Test -- 6.11 Moment Functions -- 6.12 The Analytic Continuation of Zeta Functions -- 6.13 Fourier Series -- 6.14 Summability of
Trigonometric Series -- 6.15 Distributional Point Values of Fourier Series -- 6.16 Spectral Asymptotics -- 6.17 Pointwise and Average Expansions -- 6.18 Global Expansions -- 6.19 Asymptotics of the Coincidence Limit -- 6.20 Exercises
-- 7 Series of Dirac Delta Functions -- 7.1 Introduction -- 7.2 Basic Notions -- 7.3 Several Problems that Lead to Series of Deltas -- 7.4 Dual Taylor Series as Asymptotics of Solutions of Equations -- 7.5 Boundary Layers -- 7.6
Spectral Content Asymptotics -- 7.7 Exercises -- References
ISBN:9780817681302
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Statistics , Mathematics , Analysis , Applications of Mathematics , Statistical Theory and Methods
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Call number:SPRINGER-2001-9789401597975:ONLINE Show nearby items on shelf
Title:Asymptotics of Linear Differential Equations
Author(s): M. H Lantsman
Date:2001
Size:1 online resource (441 p.)
Note:10.1007/978-94-015-9797-5
Contents:1. Introduction -- 2. Metric spaces -- 3. Asymptotic spaces -- 4. Asymptotic behaviour of functions -- 5. Power order growth functions on the positive semi-axis -- 6. Power order growth functions of the complex argument -- 7.
Integrals -- 8. Linear differential equations -- 9. General asymptotic properties of linear differential equations -- 10. Linear differential equations with power order growth coefficients on the positive semi-axis -- 11. Linear
differential equations in singular cases on the positive semi-axis -- 12. Linear differential equations in a sector of the complex plane -- 13. Linear differential equations with power-logarithmic coefficients -- 14. Linear difference
equations. General theory -- 15. Asymptotic behaviour of solutions of linear difference equations -- 16. Supplement -- List of symbols
ISBN:9789401597975
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 533
Keywords: Mathematics , Harmonic analysis , Difference equations , Functional equations , Operator theory , Differential equations , Sequences (Mathematics) , Mathematics , Ordinary Differential Equations , Difference and Functional Equations , Operator Theory , Abstract Harmonic Analysis , Sequences, Series, Summability
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Call number:SPRINGER-2000-9781461205050:ONLINE Show nearby items on shelf
Title:Fourier and Wavelet Analysis
Author(s): George Bachman
Date:2000
Size:1 online resource (507 p.)
Note:10.1007/978-1-4612-0505-0
Contents:1 Metrie and Normed Spaces -- 1.1 Metrie Spaces -- 1.2 Normed Spaces -- 1.3 Inner Product Spaces -- 1.4 Orthogonality -- 1.5 Linear Isometry -- 1.6 Holder and Minkowski Inequalities Lpand lpSpaces. -- 2 Analysis -- 2.1 Balls -- 2.2
Convergence and Continuity -- 2.3 Bounded Sets -- 2.4 Closure and Closed Sets -- 2.5 Open Sets -- 2.6 Completeness -- 2.7 Uniform Continuity -- 2.8 Compactness -- 2.9 Equivalent Norms -- 2.10 Direct Sums -- 3 Bases -- 3.1 Best
Approximation -- 3.2 Orthogonal Complements and the Projection Theorem -- 3.3 Orthonormal Sequences -- 3.4 Orthonormal Bases -- 3.5 The Haar Basis -- 3.6 Unconditional Convergence -- 3.7 Orthogonal Direct Sums -- 3.8 Continuous Linear
Maps -- 3.9 Dual Spaces -- 3.10 Adjoints -- 4 Fourier Series -- 4.1 Warmup -- 4.2 Fourier Sine Series and Cosine Series -- 4.3 Smoothness -- 4.4 The Riemann-Lebesgue Lemma -- 4.5 The Dirichlet and Fourier Kernels -- 4.6 Point wise
Convergence of Fourier Series -- 4.7 Uniform Convergence -- 4.8 The Gibbs Phenomenon -- 4.9 — Divergent Fourier Series -- 4.10 Termwise Integration -- 4.11 Trigonometric vs. Fourier Series -- 4.12 Termwise Differentiation -- 4.13
Dido’s Dilemma -- 4.14 Other Kinds of Summability -- 4.15 Fejer Theory -- 4.16 The Smoothing Effect of (C, 1) Summation -- 4.17 Weierstrass’s Approximation Theorem -- 4.18 Lebesgue’s Pointwise Convergence Theorem -- 4.19 Higher
Dimensions -- 4.20 Convergence of Multiple Series -- 5 The Fourier Transform -- 5.1 The Finite Fourier Transform -- 5.2 Convolution on T -- 5.3 The Exponential Form of Lebesgue’s Theorem -- 5.4 Motivation and Definition -- 5.5
Basics/Examplesv -- 5.6 The Fourier Transform and Residues -- 5.7 The Fourier Map -- 5.8 Convolution on R -- 5.9 Inversion, Exponential Form -- 5.10 Inversion, Trigonometric Form -- 5.11 (C, 1) Summability for Integrals -- 5.12 The
Fejer-Lebesgue Inversion Theorem -- 5.13 Convergence Assistance -- 5.14 Approximate Identity -- 5.15 Transforms of Derivatives and Integrals -- 5.16 Fourier Sine and Cosine Transforms -- 5.17 Parseval’s Identities -- 5.18 The L2Theory
-- 5.19 The Plancherel Theorem -- 5.20 Point wise Inversion and Summability -- 5.21 — Sampling Theorem -- 5.22 The Mellin Transform -- 5.23 Variations -- 6 The Discrete and Fast Fourier Transforms -- 6.1 The Discrete Fourier Transform
-- 6.2 The Inversion Theorem for the DFT -- 6.3 Cyclic Convolution -- 6.4 Fast Fourier Transform for N=2k -- 6.5 The Fast Fourier Transform for N=RC -- 7 Wavelets -- 7.1 Orthonormal Basis from One Function -- 7.2 Multiresolution
Analysis -- 7.3 Mother Wavelets Yield Wavelet Bases -- 7.4 From MRA to Mother Wavelet -- 7.5 Construction of — Scaling Function with Compact Support -- 7.6 Shannon Wavelets -- 7.7 Riesz Bases and MRAs -- 7.8 Franklin Wavelets -- 7.9
Frames -- 7.10 Splines -- 7.11 The Continuous Wavelet Transform
ISBN:9781461205050
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Topological groups , Lie groups , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Mathematics , Functional Analysis , Analysis , Topological Groups, Lie Groups
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Call number:SPRINGER-1999-9781461222361:ONLINE Show nearby items on shelf
Title:Analysis of Divergence Control and Management of Divergent Processes
Author(s):
Date:1999
Size:1 online resource (568 p.)
Note:10.1007/978-1-4612-2236-1
Contents:Overview -- I Convergence and Summability -- 1 Tauberian theorems for generalized Abelian summability methods -- 2 Series summability of complete biorthogonal sequences -- 3 Growth of Cesàro means of double Vilenkin-Fourier series of
unbounded type -- 4 A substitute for summability in wavelet expansions -- 5 Expansions in series of Legendre functions -- 6 Endpoint convergence of Legendre series -- 7 Inversion of the horocycle transform on real hyperbolic spaces via
a wavelet-like transform -- 8 Fourier-Bessel expansions with general boundary conditions -- II Singular Integrals and Multipliers -- 9 Convolution Calderón-Zygmund singular integral operators with rough kernels -- 10 Haar multipliers,
paraproducts, and weighted inequalities -- 11 Multipliers and square functions for Hp spaces over Vilenkin groups -- 12 Spectra of pseudo-differential operators in the Hörmander class -- 13 Scaling properties of infinitely flat curves
and surfaces -- 14 Some Lp(L?)- and L2(L2)- estimates for oscillatory Fourier transforms -- 15 Optimal spaces for the S’-convolution with the Marcel Riesz kernels and the N-dimensional Hilbert kernel -- III Integral Operators and
Functional Analysis -- 16 Asymptotic expansions and linear wavelet packets on certain hypergroups -- 17 Hardy-type inequalities for a new class of integral operators -- 18 Regularly bounded functions and Hardy’s inequality -- 19
Extremal problems in generalized Sobolev classes -- 20 On angularly perturbed Laplace equations in the unit ball and their distributional boundary values -- 21 Nonresonant semilinear equations and applications to boundary value
problems -- 22 A topological and functional analytic approach to statistical convergence -- IV Asymptotics and Applications -- 23 Optimal control of divergent control systems -- 24 Surfaces minimizing integrals of divergent integrands
-- 25 Sparse exponential sums with low sidelobes -- 26 Spline type summability for multivariate sampling -- 27 B-Splines and orthonormal sets in Paley-Wiener space -- 28 Norms of powers and a central limit theorem -- 29
Quasiasymptotics at zero and nonlinear problems in a framework of Colombeau generalized functions
ISBN:9781461222361
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Applied mathematics , Engineering mathematics , Mathematics , Applications of Mathematics , Signal, Image and Speech Processing , Functional Analysis
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Call number:SPRINGER-1998-9781475745078:ONLINE Show nearby items on shelf
Title:Analytic and Elementary Number Theory A Tribute to Mathematical Legend Paul Erdös
Author(s):
Date:1998
Size:1 online resource (300 p.)
Note:10.1007/978-1-4757-4507-8
ISBN:9781475745078
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Developments in Mathematics: 1
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Sequences (Mathematics) , Number theory , Combinatorics , Mathematics , Number Theory , Analysis , Combinatorics , Sequences, Series, Summability
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Call number:SPRINGER-1998-9781475728477:ONLINE Show nearby items on shelf
Title:The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations
Author(s): Abdul J Jerri
Date:1998
Size:1 online resource (340 p.)
Note:10.1007/978-1-4757-2847-7
Contents:1 Introduction -- 2 Analysis and Filtering -- 3 The General Orthogonal Expansions -- 4 Splines and other Approximations -- 5 The Wavelet Representations -- References -- Appendix A -- Index of Notations -- Author Index
ISBN:9781475728477
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 446
Keywords: Mathematics , Harmonic analysis , Approximation theory , Fourier analysis , Sequences (Mathematics) , Computer mathematics , Mathematics , Fourier Analysis , Computational Mathematics and Numerical Analysis , Abstract Harmonic Analysis , Sequences, Series, Summability , Approximations and Expansions
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Call number:SPRINGER-1997-9789401155687:ONLINE Show nearby items on shelf
Title:Asymptotic Behaviour of Linearly Transformed Sums of Random Variables
Author(s): Valery Buldygin
Date:1997
Size:1 online resource (504 p.)
Note:10.1007/978-94-011-5568-7
Contents:I Random series and linear transformations of sequences of independent random elements -- 0 Random elements and their convergence (preliminary notions) -- 1 Series of independent random elements -- 2 Linear transformations of
independent random elements and series in sequence spaces -- II Limit theorems for operator-normed sums of independent random vectors and their applications -- 3 Operator-normed sums of independent random vectors -- 4 Operator-normed
sums of independent identically distributed random vectors -- 5 Asymptotic properties of Gaussian Markov sequences -- 6 Continuity of sample paths of Gaussian Markov processes -- 7 Asymptotic properties of recurrent random sequences --
8 The interplay between strong and weak limit theorems for sums of independent random variables -- Comments -- Subject indcx -- List of Notations
ISBN:9789401155687
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 416
Keywords: Mathematics , Measure theory , Sequences (Mathematics) , System theory , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics, general , Sequences, Series, Summability , Measure and Integration , Systems Theory, Control
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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-1996-9783034891851:ONLINE Show nearby items on shelf
Title:Functional Analysis Vol. I
Author(s): Yuri M Berezansky
Date:1996
Size:1 online resource (426 p.)
Note:10.1007/978-3-0348-9185-1
Contents:1 Measure Theory -- 1 Operations on Sets. Ordered Sets -- 2 Systems of Sets -- 3 Measure of a Set. Simple Properties of Measures -- 4 Outer Measure -- 5 Measurable Sets. Extension of a Measure -- 6 Properties of Measures and
Measurable Sets -- 7 Monotone Classes of Sets. Uniqueness of Extensions of Measures -- 8 Measures Taking Infinite Values -- 9 Lebesgue Measure of Bounded Linear Sets -- 10 Lebesgue Measure on the Real Line -- 11 Lebesgue Measure in the
N-Dimensional Euclidean Space -- 12 Discrete Measures -- 13 Some Properties of Nondecreasing Functions -- 14 Construction of a Measure for a Given Nondecreasing Function. Lebesgue-Stieltjes Measure -- 15 Reconstruction of a
Nondecreasing Function for a Given Lebesgue-Stieltjes Measure -- 16 Charges and Their Properties -- 17 Relationship between Functions of Bounded Variation and Charges -- 2 Measurable Functions -- 1 Measurable Spaces. Measure Spaces.
Measurable Functions -- 2 Properties of Measurable Functions -- 3 Equivalence of Functions -- 4 Sequences of Measurable Functions -- 5 Simple Functions. Approximation of Measurable Functions by Simple Functions. The Luzin Theorem -- 3
Theory of Integration -- 1 Integration of Simple Functions -- 2 Integration of Measurable Bounded Functions -- 3 Relationship Between the Concepts of Riemann and Lebesgue Integrals -- 4 Integration of Nonnegative Unbounded Functions --
5 Integration of Unbounded Functions with Alternating Sign -- 6 Limit Transition under the Sign of the Lebesgue Integral -- 7 Integration over a Set of Infinite Measure -- 8 Summability and Improper Riemann Integrals -- 9 Integration
of Complex-Valued Functions -- 10 Integrals over Charges -- 11 Lebesgue-Stieltjes Integral and Its Relation to the Riemann-Stieltjes Integral -- 12 The Lebesgue Integral and the Theory of Series -- 4 Measures in the Products of Spaces.
Fubini Theorem -- 1 Direct Product of Measurable Spaces. Sections of Sets and Functions -- 2 Product of Measures -- 3 The Fubini Theorem -- 4 Products of Finitely Many Measures -- 5 Absolute Continuity and Singularity of Measures,
Charges, and Functions. Radon-Nikodym Theorem. Change of Variables in the Lebesgue Integral -- 1 Absolutely Continuous Measures and Charges -- 2 Radon-Nikodym Theorem -- 3 Radon-Nikodym Derivative. Change of Variables in the Lebesgue
Integral -- 4 Mappings of Measure Spaces. Change of Variables in the Lebesgue Integral. (Another Approach) -- 5 Singularity of Measures and Charges. Lebesgue Decomposition -- 6 Absolutely Continuous Functions. Basic Properties -- 7
Relationship Between Absolutely Continuous Functions and Charges -- 8 Newton-Leibniz Formula. Singular Functions. Lebesgue Decomposition of a Function of Bounded Variation -- 6 Linear Normed Spaces and Hilbert Spaces -- 1 Topological
Spaces -- 2 Linear Topological Spaces -- 3 Linear Normed and Banach Spaces -- 4 Completion of Linear Normed Spaces -- 5 Pre-Hilbert and Hilbert Spaces -- 6 Quasiscalar Product and Seminorms -- 7 Examples of Banach and Hilbert Spaces --
8 Spaces of Summable Functions. Spaces Lp -- 7 Linear Continuous Functional and Dual Spaces -- 1 Theorem on an Almost Orthogonal Vector. Finite Dimensional Spaces -- 2 Linear Continuous Functional and Their Simple Properties. Dual
Space -- 3 Extension of Linear Continuous Functionals -- 4 Corollaries of the Hahn-Banach Theorem -- 5 General Form of Linear Continuous Functionals in Some Banach Spaces -- 6 Embedding of a Linear Normed Space in the Second Dual
Space. Reflexive Spaces -- 7 Banach-Steinhaus Theorem. Weak Convergence -- 8 Tikhonov Product. Weak Topology in the Dual Space -- 9 Orthogonality and Orthogonal Projections in Hilbert Spaces. General Form of a Linear Continuous
Functional -- 10 Orthonormal Systems of Vectors and Orthonormal Bases in Hilbert Spaces -- 8 Linear Continuous Operators -- 1 Linear Operators in Normed Spaces -- 2 The Space of Linear Continuous Operators -- 3 Product of Operators.
The Inverse Operator -- 4 The Adjoint Operator -- 5 Linear Operators in Hilbert Spaces -- 6 Matrix Representation of Operators in Hilbert Spaces -- 7 Hilbert-Schmidt Operators -- 8 Spectrum and Resolvent of a Linear Continuous Operator
-- 9 Compact Operators. Equations with Compact Operators -- 1 Definition and Properties of Compact Operators -- 2 Riesz-Schauder Theory of Solvability of Equations with Compact Operators -- 3 Solvability of Fredholm Integral Equations
-- 4 Spectrum of a Compact Operator -- 5 Spectral Radius of an Operator -- 6 Solution of Integral Equations of the Second Kind by the Method of Successive Approximations -- 10 Spectral Decomposition of Compact Selfadjoint Operators.
Analytic Functions of Operators -- 1 Spectral Decomposition of a Compact Selfadjoint Operator -- 2 Integral Operators with Hermitian Kernels -- 3 The Bochner Integral -- 4 Analytic Functions of Operators -- 11 Elements of the Theory of
Generalized Functions -- 1 Test and Generalized Functions -- 2 Operations with Generalized Functions -- 3 Tempered Generalized Functions. Fourier Transformation -- Bibliographical Notes -- References
ISBN:9783034891851
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory Advances and Applications : 85
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Mathematics , Functional Analysis , Analysis
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Call number:SPRINGER-1995-9789401101158:ONLINE Show nearby items on shelf
Title:Classification and Approximation of Periodic Functions
Author(s): Alexander I Stepanets
Date:1995
Size:1 online resource (366 p.)
Note:10.1007/978-94-011-0115-8
Contents:1. Classes of Periodic Functions -- 1. Sets of Summable Functions. Moduli of Continuity -- 2. The Classes H?[a, b] and H? -- 3. Moduli of Continuity in the Spaces Lp. The Classes H?p -- 4. Classes of Differentiable Functions -- 5.
Conjugate Functions and Their Classes -- 6. Weil-Nagy Classes -- 7. The Classes -- 8. The Classes -- 9. The Classes 35 10. Order Relation for (?, ? )-Derivatives -- 2. Integral Representations of Deviations of Linear Means Of Fourier
Series -- 1. Fourier Sums -- 2. Linear Methods of Summation of Fourier Series. General Aspects -- 3. Integral Representations of ?n(fx?) -- 4. Representations of Deviations of Fourier Sums on the Sets and -- 5. Representations of
Deviations of Fourier Sums on the Sets and -- 3. Approximations by Fourier Sums in the Spaces c and l1 -- 1. Simplest Extremal Problems in the Space C -- 2. Simplest Extremal Problems in the Space L1 -- 3. Asymptotic Equalities for ?
n(H?) -- 4. Asymptotic Equalities for -- 5. Moduli of Half-Decay of Convex Functions -- 6. Asymptotic Representations for ?n(f x) on the Sets -- 7. Asymptotic Equalities for and -- 8. Approximations of Analytic Functions by Fourier
Sums in the Uniform Metric -- 9. Approximations of Entire Functions by Fourier Sums in the Uniform Metric -- 10. Asymptotic Equalities for and -- 11. Asymptotic Equalities for and -- 12. Asymptotic Equalities for and -- 13.
Approximations of Analytic Functions in the Metric of the Space L -- 14. Asymptotic Equalities for and -- 15. Behavior of a Sequence of Partial Fourier Sums near Their Points of Divergence -- 4. Simultaneous Approximation of Functions
and their Derivatives by Fourier Sums -- 1. Statement of the Problem and Auxiliary Facts -- 2. Asymptotic Equalities for -- 3. Asymptotic Equalities for -- 4. Corollaries of Theorems 2.1 and 3.1 -- 5. Convergence Rate of the Group of
Deviations -- 6. Strong Summability of Fourier Series -- 5. Convergence Rate of Fourier Series and Best Approximations in the Spaces lp -- 1. Approximations in the Space L2 -- 2. Jackson Inequalities in the Space L2 -- 3.
Multiplicators. Marcinkiewicz Theorem. Riesz Theorem. Hardy — Littlewood Theorem -- 4. Imbedding Theorems for the Sets -- 5. Approximations of Functions from the Sets -- 6. Best Approximations of Infinitely Differentiable Functions --
7. Jackson Inequalities in the Spaces C and Lp -- 6. Best Approximations in the Spaces C and l -- 1. Zeros of Trigonometric Polynomials -- 2. Chebyshev Theorem and de la Vallée Poussin Theorem -- 3. Polynomial of Best Approximation in
the Space L -- 4. Approximation of Classes of Convolutions -- 5. Orders of Best Approximations -- 6. Exact Values of Upper Bounds of Best Approximations -- Bibliographical Notes -- References
ISBN:9789401101158
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 333
Keywords: Mathematics , Harmonic analysis , Approximation theory , Fourier analysis , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Approximations and Expansions , Fourier Analysis , Abstract Harmonic Analysis
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Call number:SPRINGER-1994-9789401109703:ONLINE Show nearby items on shelf
Title:Nonlinear Numerical Methods and Rational Approximation II
Author(s):
Date:1994
Size:1 online resource (446 p.)
Note:10.1007/978-94-011-0970-3
Contents:Orthogonal Polynomials -- Zeros of orthogonal and biorthogonal polynomials: some old, some new -- Some sequences arising in the creation of new orthogonal polynomials -- Convergence of Lagrange interpolation for Freud weights in
weighted LP(IR),0 accuracy-through-order and the equivalence properties in the algebraic approximant -- On the vector-valued Padé approximants and the vector ?- algorithm -- Quadrature formulas on the unit circle and two-point Padé
approximation -- Continued fractions -- A survey of truncation error analysis for Padé and continued fraction approximants -- Truncation error bounds for limit K-periodic continued fractions -- Continued fractions for the symmetric
strong Stieltjes moment problem -- Observations on indeterminate Stieltjes moment problems -- A family of classical determinate Stieltjes moment problems with discrete solutions -- Convergence criteria of two-dimensional continued
fractions -- First order linear recurrence systems and general N-fractions
ISBN:9789401109703
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 296
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Functions of complex variables , Sequences (Mathematics) , Computer mathematics , Probabilities , Mathematics , Approximations and Expansions , Analysis , Probability Theory and Stochastic Processes , Sequences, Series, Summability , Functions of a Complex Variable , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-1994-9781461202714:ONLINE Show nearby items on shelf
Title:Advanced Calculus A Differential Forms Approach
Author(s): Harold M Edwards
Date:1994
Size:1 online resource (508 p.)
Note:10.1007/978-1-4612-0271-4
ISBN:9781461202714
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Functions of real variables , Sequences (Mathematics) , Mathematics , Analysis , Functional Analysis , Real Functions , Sequences, Series, Summability
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Call number:SPRINGER-1993-9789401582384:ONLINE Show nearby items on shelf
Title:Bifurcations and Periodic Orbits of Vector Fields
Author(s):
Date:1993
Size:1 online resource (474 p.)
Note:10.1007/978-94-015-8238-4
Contents:Complex Foliations Arising from Polynomial Differential Equations -- Techniques in the Theory of Local Bifurcations: Blow-Up, Normal Forms, Nilpotent Bifurcations, Singular Perturbations -- Six Lectures on Transseries, Analysable
Functions and the Constructive Proof of Dulac’s Conjecture -- Knots and Orbit Genealogies in Three Dimensional Flows -- Dynamical Systems: Some Computational Problems -- Local Dynamics and Nonlocal Bifurcations -- Singularités
d’équations différentielles holomorphes en dimension deux -- Techniques in the Theory of Local Bifurcations: Cyclicity and Desingularization -- Bifurcation Methods in Polynomial Systems -- Algebraic and Geometric Aspects of the Theory
of Polynomial Vector Fields
ISBN:9789401582384
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 408
Keywords: Mathematics , Numerical analysis , Functions of complex variables , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential equations , Sequences (Mathematics) , Geometry , Mathematics , Ordinary Differential Equations , Global Analysis and Analysis on Manifolds , Functions of a Complex Variable , Sequences, Series, Summability , Geometry , Numeric Computing
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Call number:SPRINGER-1991-9789401132886:ONLINE Show nearby items on shelf
Title:Walsh Series and Transforms Theory and Applications
Author(s): B Golubov
Date:1991
Size:1 online resource (368 p.)
Note:10.1007/978-94-011-3288-6
Contents:1 Walsh Functions and Their Generalizations -- §1.1 The Walsh functions on the interval [0, 1) -- §1.2 The Walsh system on the group -- §1.3 Other definitions of the Walsh system. Its connection with the Haar system -- §1.4 Walsh
series. The Dirichlet kernel -- §1.5 Multiplicative systems and their continual analogues -- 2 Walsh-Fourier Series Basic Properties -- §2.1 Elementary properties of Walsh-Fourier series. Formulae for partial sums -- §2.2 The Lebesgue
constants -- §2.3 Moduli of continuity of functions and uniform convergence of Walsh-Fourier series -- §2.4 Other tests for uniform convergence -- §2.5 The localization principle. Tests for convergence of a Walsh-Fourier series at a
point -- §2.6 The Walsh system as a complete, closed system -- §2.7 Estimates of Walsh-Fourier coefficients. Absolute convergence of Walsh-Fourier series -- §2.8 Fourier series in multiplicative systems -- 3 General Walsh Series and
Fourier-Stieltjes Series Questions on Uniqueness of Representation of Functions by Walsh Series -- §3.1 General Walsh series as a generalized Stieltjcs series -- §3.2 Uniqueness theorems for representation of functions by pointwise
convergent Walsh series -- §3.3 A localization theorem for general Walsh series -- §3.4 Examples of null series in the Walsh system. The concept of U-sets and M-sets -- 4 Summation of Walsh Series by the Method of Arithmetic Mean --
§4.1 Linear methods of summation. Regularity of the arithmetic means -- §4.2 The kernel for the method of arithmetic means for Walsh- Fourier series -- §4.3 Uniform (C, 1) summability of Walsh-Fourier series of continuous functions --
§4.4 (C, 1) summability of Fourier-Stieltjes series -- 5 Operators in the Theory of Walsh-Fourier Series -- §5.1 Some information from the theory of operators on spaces of measurable functions -- §5.2 The Hardy-Littlewood maximal
operator corresponding to sequences of dyadic nets -- §5.3 Partial sums of Walsh-Fourier series as operators -- §5.4 Convergence of Walsh-Fourier series in Lp[0, 1) -- 6 Generalized Multiplicative Transforms -- §6.1 Existence and
properties of generalized multiplicative transforms -- §6.2 Representation of functions in L1(0, ?) by their multiplicative transforms -- §6.3 Representation of functions in Lp(0, ?), 1 < p ? 2, by their multiplicative transforms -- 7
Walsh Series with Monotone Decreasing Coefficient -- §7.1 Convergence and integrability -- §7.2 Series with quasiconvex coefficients -- §7.3 Fourier series of functions in Lp -- 8 Lacunary Subsystems of the Walsh System -- §8.1 The
Rademacher system -- §8.2 Other lacunary subsystems -- §8.3 The Central Limit Theorem for lacunary Walsh series -- 9 Divergent Walsh-Fourier Series Almost Everywhere Convergence of Walsh-Fourier Series of L2 Functions -- §9.1
Everywhere divergent Walsh-Fourier series -- §9.2 Almost everywhere convergence of Walsh-Fourier series of L2[0, 1) functions -- 10 Approximations by Walsh and Haar Polynomials -- §10.1 Approximation in uniform norm -- §10.2
Approximation in the Lp norm -- §10.3 Connections between best approximations and integrability conditions -- §10.4 Connections between best approximations and integrability conditions (continued) -- §10.5 Best approximations by means
of multiplicative and step functions -- 11 Applications of Multiplicative Series and Transforms to Digital Information Processing -- §11.1 Discrete multiplicative transforms -- §11.2 Computation of the discrete multiplicative transform
-- §11.3 Applications of discrete multiplicative transforms to information compression -- §11.4 Peculiarities of processing two-dimensional numerical problems with discrete multiplicative transforms -- §11.5 A description of classes of
discrete transforms which allow fast algorithms -- 12 Other Applications of Multiplicative Functions and Transforms -- §12.1 Construction of digital filters based on multiplicative transforms -- §12.2 Multiplicative holographic
transformations for image processing -- §12.3 Solutions to certain optimization problems -- Appendices -- Appendix 1 Abelian groups -- Appendix 2 Metric spaces. Metric groups -- Appendix 3 Measure spaces -- Appendix 4 Measurable
functions. The Lebesgue integral -- Appendix 5 Normed linear spaces. Hilbert spaces -- Commentary -- References
ISBN:9789401132886
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications, Soviet Series: 64
Keywords: Mathematics , Microprocessors , Fourier analysis , Computer mathematics , Mathematics , Fourier Analysis , Computational Mathematics and Numerical Analysis , Processor Architectures
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Call number:SPRINGER-1991-9781468467932:ONLINE Show nearby items on shelf
Title:Sums, Trimmed Sums and Extremes
Author(s):
Date:1991
Size:1 online resource (418 p.)
Note:10.1007/978-1-4684-6793-2
Contents:I Approaches to Trimming and Self-normalization Based on Analytic Methods -- Asymptotic Behavior of Partial Sums: A More Robust Approach Via Trimming and Self-Normalization -- Weak Convergence of Trimmed Sums -- Invariance Principles
and Self-Normalizations for Sums Trimmed According to Choice of Influence Function -- On Joint Estimation of an Exponent of Regular Variation and an Asymmetry Parameter for Tail Distributions -- Center, Scale and Asymptotic Normality
for Censored Sums of Independent, Nonidentically Distributed Random Variables -- A Review of Some Asymptotic Properties of Trimmed Sums of Multivariate Data -- II The Quantile-Transform-Empirical-Process Approach to Trimming -- The
Quantile-Transform-Empirical-Process Approach to Limit Theorems for Sums of Order Statistics -- A Note on Weighted Approximations to the Uniform Empirical and Quantile Processes -- Limit Theorems for the Petersburg Game -- A
Probabilistic Approach to the Tails of Infinitely Divisible Laws -- The Quantile-Transform Approach to the Asymptotic Distribution of Modulus Trimmed Sums -- On the Asymptotic Behavior of Sums of Order Statistics from a Distribution
with a Slowly Varying Upper Tail -- Limit Results for Linear Combinations -- Non-Normality of a Class of Random Variables
ISBN:9781468467932
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Probability : 23
Keywords: Mathematics , Sequences (Mathematics) , Probabilities , Mathematics , Sequences, Series, Summability , Probability Theory and Stochastic Processes
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Call number:SPRINGER-1990-9789400919105:ONLINE Show nearby items on shelf
Title:Applications of Fibonacci Numbers Volume 3 Proceedings of ‘The Third International Conference on Fibonacci Numbers and Their Applications’, Pisa, Italy, July 25–29, 1988
Author(s):
Date:1990
Size:1 online resource (366 p.)
Note:10.1007/978-94-009-1910-5
Contents:The Role of the Fibonacci Sequence in the Isolation of the Real Roots of Polynomial Equations -- A GCD Property on Pascal’s Pyramid and the Corresponding LCM Property of the Modified Pascal Pyramid -- Translatable and Rotatable
Configurations Which Give Equal Product, Equal GCD and Equal LCM Properties Simultaneously -- Fibonacci Length of Generating Pairs in Groups -- A Generalization of Fibonacci Trees -- Generalized Fibonacci Numbers are Rounded Powers --
On Generalized Fibonacci Numbers of Graphs -- An Investigation of Sequences Derived from Hoggatt Sums and Hoggatt Triangles -- Representation of Natural Numbers as Sums of Fibonacci Numbers: An Application to Modern Cryptography -- A
Note on Ramifications Concerning the Construction of Pythagorean Triples from Recursive Sequences -- On the Representation of {Fkn/Fn}, {Fkn/Ln }, {Lkn/Ln} and {Lkn/Fn} as Zeckendorf Sums -- Functional Recurrences -- Concentric Cycles
in Mosaic Graphs -- Fibonacci Triangles -- Mosaic Numbers of Fibonacci Trees -- Falling Factorial Polynomials of Generalized Fibonacci Type -- Some Notes on Fibonacci Binary Sequences -- Congruences for Weighted and Degenerate Stirling
Numbers -- An Inverse Theorem on Fibonacci Numbers -- Some Results on Divisibility Sequences -- On Mental Calculation of Repeating Decimals, Finding Fibonacci Numbers and a Connection to Pascal’s Triangle -- Diophantine Representation
of Fibonacci Numbers Over Natural Numbers -- On Prime Divisors of the Terms of Second Order Linear Recurrence Sequences -- An Alternating Product Representation for Real Numbers -- Maximum Length of the Euclidean Algorithm and
Continued Fractions in F(X) -- Recurrence Relations in Sinusoids and Their Applications to Spectral Analysis and to the Resolution of Algebraic Equations -- A Recurrence Relation for Gaussian Multinomial Coefficients -- Some Binomial
Fibonacci Identities -- A Survey of Properties of Third Order Pell Diagonal Functions -- Multivariate Fibonacci Polynomials of Order K and the Multiparameter Negative Binomial Distribution of the Same Order -- Longest Circular Runs
with an Application in Reliability Via the Fibonacci-Type Polynomials of Order K -- Fibonacci Numbers and an Algorithm of Lemoine and Kátai -- Generalizations of Sequences of Lucas and Bell -- Distribution of Residues of Certain
Second-Order Linear Recurrences Modulo P -- The Fibonacci Tree, Hofstadter and the Golden String -- Three Number Trees — Their Growth Rules and Related Number Properties
ISBN:9789400919105
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Sequences (Mathematics) , Computer mathematics , Number theory , Statistics , Mathematics , Number Theory , Statistics, general , Computational Mathematics and Numerical Analysis , Sequences, Series, Summability
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Call number:SPRINGER-1987-9783034871921:ONLINE Show nearby items on shelf
Title:General Inequalities 5 5th International Conference on General Inequalities, Oberwolfach, May 4–10, 1986
Author(s):
Date:1987
Size:1 online resource (482 p.)
Note:10.1007/978-3-0348-7192-1
Contents:The Bieberbach Conjecture -- De Branges’ proof of the Bieberbach conjecture -- Inequalities for Sums, Series and Integrals -- Tauberian theorems, convolutions and some results of D.C. Russell -- On a Hardy-Littlewood type integral
inequality with a monotonic weight function -- Contributions to inequalities II -- On some discrete quadratic inequalities -- Some inequalities for geometric means -- Estimation of an integral -- Tauberian-type results for convolution
of sequences -- Inequalities in Analysis and Approximation -- Weighted inequalities for maximal functions in spaces of homogeneous type with applications to non-isotropic fractional integrals -- Some inequalities concerning
convolutions of kernel functions -- Inequalities for some special functions and their zeros -- Uniqueness inequality and best harmonic L1-approximation -- On the structure of (s, t)-convex functions -- Moments of convex and monotone
functions -- An even order search problem -- Inequalities of Functional Analysis -- Positivity in absolute summability -- Fourier inequalities with Ap-weights -- Experimenting with operator inequalities using APL -- p-estimates for
ultraproducts of Banach lattices -- Functional Equations and Inequalities -- On the stability of a functional equation arising in probabilistic normed spaces -- Some iterative functionsl inequalities and Schroder’s equation -- On an
inequality of P.W. Cholewa -- Subadditive multifunctions and Hyers-Ulam stability -- Bemerkungen zu einem Existenz- und Eindeutigkeitsproblem von W. Walter aus dem Gebiet der Differenzengleichungen -- Inequalities for Differential
Operators -- Linear and nonlinear discrete inequalities in n independent variables -- Extremal problems for eigenvalues of the Sturm-Liouville type -- The HELP inequality in the regular case -- On estimating eigenvalues of a second
order linear differential operator -- Landau’s inequality for the differential and difference operators -- Ein Existenzsatz für gewöhnliche Differentialgleichungen in geordneten Banachräumen -- Optimal bounds for the critical value in
a semi-linear boundary value problem on a surface -- Some inequalities of Sobolev type on two-dimensional spheres -- Inequalities in Economics, Optimization and Applications -- Entropies, generalized entropies, inequalities and the
maximum entropy principle -- Inequalities and mathematical programming, III -- Functions generating Schur-convex sums -- How to make fair decisions? -- On the ?T-product of symmetric and subsymmetric distributions functions -- Problems
and Remarks -- The behaviour of comprehensive classes of means under equal increments of their variables -- A problem concerning some metrics -- Three problems -- Problems on Landau’s inequality -- A generalization of Young’s
inequality -- On packings of congruent balls in the unit ball
ISBN:9783034871921
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik Série internationale d’Analyse numérique : 80
Keywords: Science , Science , Science, general
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Call number:SPRINGER-1985-9781461251569:ONLINE Show nearby items on shelf
Title:Stationary Sequences and Random Fields
Author(s): Murray Rosenblatt
Date:1985
Size:1 online resource (258 p.)
Note:10.1007/978-1-4612-5156-9
Contents:I Stationary Processes -- 1. General Discussion -- 2. Positive Definite Functions -- 3. Fourier Representation of a Weakly Stationary Process -- Problems -- Notes -- II Prediction and Moments -- 1. Prediction -- 2. Moments and
Cumulants -- 3. Autoregressive and Moving Average Processes -- 4. Non-Gaussian Linear Processes -- 5. The Kalman-Bucy Filter -- Problems -- Notes -- III Quadratic Forms, Limit Theorems and Mixing Conditions -- 1. Introduction -- 2.
Quadratic Forms -- 3. A Limit Theorem -- 4. Summability of Cumulants -- 5. Long-range Dependence -- 6. Strong Mixing and Random Fields -- Problems -- Notes -- IV Estimation of Parameters of Finite Parameter Models -- 1. Maximum
Likelihood Estimates -- 2. The Newton-Raphson Procedure and Gaussian ARMA Schemes -- 3. Asymptotic Properties of Some Finite Parameter Estimates -- 4. Sample Computations Using Monte Carlo Simulation -- 5. Estimating the Order of a
Model -- 6. Finite Parameter Stationary Random Fields -- Problems -- V Spectral Density Estimates -- 1. The Periodogram -- 2. Bias and Variance of Spectral Density Estimates -- 3. Asymptotic Distribution of Spectral Density Estimates
-- 4. Prewhitening and Tapering -- 5. Spectral Density Estimates Using Blocks -- 6. A Lower Bound for the Precision of Spectral Density Estimates -- 7. Turbulence and the Kolmogorov Spectrum -- 8. Spectral Density Estimates for Random
Fields -- Problems -- Notes -- VI Cumulant Spectral Estimates -- 1. Introduction -- 2. The Discrete Fourier Transform and Fast Fourier Transform -- 3. Vector-Valued Processes -- 4. Smoothed Periodograms -- 5. Aliasing and Discretely
Sampled Time Series -- Notes -- VII Density and Regression Estimates -- 1. Introduction. The Case of Independent Observations -- 2. Density and Regression Estimates for Stationary Sequences -- Notes -- VIII Non-Gaussian Linear
Processes -- 1. Estimates of Phase, Coefficients, and Deconvolution for Non-Gaussian -- Linear Processes -- 2. Random Fields -- 3. Non-Gaussian Linear Random Fields -- Notes -- 1. Monotone Functions and Measures -- 2. Hilbert Space --
3. Banach Space -- 4. Banach Algebras and Homomorphisms -- Postscript -- Author Index
ISBN:9781461251569
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Field theory (Physics) , Sequences (Mathematics) , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Sequences, Series, Summability , Field Theory and Polynomials
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Call number:SPRINGER-1979-9783540385110:ONLINE Show nearby items on shelf
Title:Padé Approximation and its Applications Proceedings of a Conference held in Antwerp, Belgium, 1979
Author(s):
Date:1979
Size:1 online resource (396 p.)
Note:10.1007/BFb0085571
Contents:Padé-Chebychev Approximants -- Sur la régularité des procédés ?2 d'Aitken et W de Lubkin -- Démonstration algébrique de l'extension de l'identité de Wynn aux tables de Padé non normales -- Abstract Padé-approximants in operator theory
-- Approximation de Padé-Hermite -- Ensembles de suites et de procédés liés pour l'accélération de la convergence -- Valleys in c-table -- Recurrence coefficients for orthogonal polynomials on connected and non-connected sets --
Orthogonal expansions in indefinite inner product spaces -- Sur le calcul de certains rapports de determinants -- Recursive algorithms for the Padé table : Two approaches -- The numerical calculation of Padé approximants -- Sur le
calcul de l'exponentielle d'une matrice -- A reliable method for rational interpolation -- Rational predictor-corrector methods for nonlinear volterra integral equations of the second kind -- On a summability method -- Pade
approximants and rational functions as tools for finding poles and zeros of analytical functions measured experimentally -- Some properties of rational methods for solving ordinary differential equations -- Recent references on
sequences and series transformations -- Commented bibliography on techniques for computing Padé Approximants
ISBN:9783540385110
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 765
Keywords: Mathematics , Numerical analysis , Mathematics , Numerical Analysis
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