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1.

図書

図書
S.M. Srivastava
出版情報: New York : Springer, c1998  xvi, 261 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 180
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2.

図書

図書
Saunders Mac Lane
出版情報: New York : Springer, c1998  xii, 314 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 5
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3.

図書

図書
C. Grosche, F. Steiner
出版情報: Berlin : Springer, c1998  x, 449 p. ; 25 cm
シリーズ名: Springer tracts in modern physics : Ergebnisse der exakten Naturwissenschaften / editor, G. Höhler ; 145
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4.

図書

図書
スティーブン・ウルフラム著 ; 白水重明訳
出版情報: 東京 : アジソン・ウエスレイ・パブリッシャーズ・ジャパン , 東京 : 星雲社 (発売), 1992.3  xxii, 937p ; 24cm
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5.

図書

図書
Alexander Ya. Shklyar
出版情報: Basel ; Boston : Birkhäuser Verlag, c1997  xii, 215 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 92
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6.

図書

図書
by Uri Elias
出版情報: Dordrecht : Kluwer, c1997  vii, 217 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 396
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目次情報: 続きを見る
Preface
Introduction / 0:
The Basic Lemma / 1:
Boundary Value Functions / 2:
Bases of Solutions / 3:
Comparison of Boundary Value Problems / 4:
Comparison Theorems for Two Equations / 5:
Disfocality and Its Characterization / 6:
Various Types of Disfocality / 7:
Solutions on an Infinite Interval / 8:
Disconjugacy and its Characterization / 9:
Eigenvalue Problems / 10:
More Extremal Points / 11:
Minors of the Wronskian / 12:
The Dominance Property of Solutions / 13:
References
Index
Preface
Introduction / 0:
The Basic Lemma / 1:
7.

図書

図書
Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho
出版情報: New York : Oxford University Press, 1997  xlvi, 576 p. ; 25 cm
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8.

図書

図書
Martin Aigner
出版情報: Berlin ; New York : Springer, c1997  viii, 483 p. ; 24 cm
シリーズ名: Classics in mathematics
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9.

図書

図書
A. M. Khludnev and J. Sokolowski
出版情報: Basel : Birkhäuser Verlag, c1997  xiii, 366 p. ; 24 cm
シリーズ名: International series of numerical mathematics ; v. 122
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10.

図書

図書
Garth Baker, Alexandre Freire, editors
出版情報: Basel : Birkhäuser, c1997  xi, 153 p. ; 24 cm
シリーズ名: Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 29
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11.

図書

図書
edited by Giuseppe Da Prato, Jean-Paul Zolésio
出版情報: New York : Marcel Dekker, c1997  viii, 331 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 188
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12.

図書

図書
Rudolf Lidl, Harald Niederreiter ; foreword by P.M. Cohn
出版情報: Cambridge : Cambridge University Press, 1997  xiv, 755 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 20
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Algebraic foundations / 1:
Structure of finite fields / 2:
Polynomials over finite fields / 3:
Factorization of polynomials / 4:
Exponential sums / 5:
Equations over finite fields / 6:
Permutation polynomials / 7:
Linear recurring sequences / 8:
Applications of finite fields / 9:
Tables / 10:
Algebraic foundations / 1:
Structure of finite fields / 2:
Polynomials over finite fields / 3:
13.

図書

図書
H. Groemer
出版情報: Cambridge ; New York : Cambridge University Press, 1996  xi, 329 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 61
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14.

図書

図書
editors, P.G. Bergmann, V. de Sabbata, H.-J. Treder
出版情報: Singapore : World Scientific, c1996  xviii, 435 p., [6] p. of plates ; 23 cm
シリーズ名: The science and culture series ; . Physics
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15.

図書

図書
Nathan Jacobson
出版情報: Berlin : Springer, c1996  viii, 278 p.
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16.

図書

図書
Yu. Safarov, D. Vassiliev
出版情報: Providence, R.I. : American Mathematical Society, c1997  xiii, 354 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 155
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目次情報: 続きを見る
Main results
Oscillatory integrals
Construction of the wave group
Singularities of the wave group
Proof of main results
Mechanical applications
Spectral problem on the half-line / Appendix A:
Fourier Tauberian theorems / Appendix B:
Stationary phase formula / Appendix C:
Hamiltonian billiards: proofs / Appendix D:
Factorization of smooth functions and Taylor-type formulae / Appendix E:
References
Principal notation
Index
Main results
Oscillatory integrals
Construction of the wave group
17.

図書

図書
D. Cvetković, P. Rowlinson, S. Simić
出版情報: Cambridge : Cambridge University Press, 1997  xiii, 258 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 66
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A background in graph spectra / 1:
Eigenvectors of graphs / 2:
Eigenvectors of techniques / 3:
Graph angles / 4:
Angle techniques / 5:
Graph perturbations / 6:
Star partitions / 7:
Canonical star bases / 8:
Miscellaneous results / 9:
A background in graph spectra / 1:
Eigenvectors of graphs / 2:
Eigenvectors of techniques / 3:
18.

図書

図書
Ronald L. Graham, Jaroslav Nešetřil (eds.)
出版情報: Berlin : Springer, c1997  2 v. ; 25 cm
シリーズ名: Algorithms and combinatorics ; 13-14
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19.

図書

図書
by Reiner Horst, Panos M. Pardalos, and Nguyen V. Thoai
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1995  xii, 318 p. ; 25 cm
シリーズ名: Nonconvex optimization and its applications ; v. 3
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20.

図書

図書
Victor G. Ganzha, E.V. Vorozhtsov
出版情報: New York : Wiley, c1996  xi, 458 p. ; 24 cm
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The Necessary Basics from the Stability Theory of Difference Schemes and Polynomials
Symbolic-Numerical Method for the Stability Investigation of Difference Schemes on a Computer
Application of Optimization Methods to the Stability Analysis of Difference Schemes
Stability Analysis of Difference Schemes by Catastrophe Theory Methods
Construction of Multiply Connected Stability Regions of Difference Schemes by Computer Algebra and Pattern Recognition
Maximally Stable Difference Schemes
Stability Analysis of Nonlinear Difference Schemes
Symbolic Computation of Differential Approximations
Appendices
Index
The Necessary Basics from the Stability Theory of Difference Schemes and Polynomials
Symbolic-Numerical Method for the Stability Investigation of Difference Schemes on a Computer
Application of Optimization Methods to the Stability Analysis of Difference Schemes
21.

図書

図書
Michael E. Taylor
出版情報: New York ; Tokyo : Springer, c1996  xxi, 563 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 115 . Partial differential equations / Michael E. Taylor ; 1
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目次情報: 続きを見る
Volumes II and III
Introduction
Basic Theory of ODE and Vector Fields
The Laplace Equation and Wave Equation
Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE
Sobolev Spaces
Linear Elliptic Equations
Linear Evolution Equations
Outline of Functional Analysis / Appendix A:
Manifolds, Vector Bundles, and Lie Groups / Appendix B:
Index
Volumes II and III
Introduction
Basic Theory of ODE and Vector Fields
22.

図書

図書
Michael E. Taylor
出版情報: New York ; Tokyo : Springer, c1996  xxi, 528 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 116 . Partial differential equations / Michael E. Taylor ; 2
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目次情報: 続きを見る
Volumes I and III
Introduction
Pseudodifferential Operators
Spectral Theory
Scattering by Obstacles
Dirac Operators and Index Theory
Brownian Motion and Potential Theory
The Partial-Neumann Problem
Connections and Curvature
Index
Volumes I and III
Introduction
Pseudodifferential Operators
23.

図書

図書
Michael E. Taylor
出版情報: New York ; Tokyo : Springer, c1996  xxi, 610 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 117 . Partial differential equations / Michael E. Taylor ; 3
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Function space and operator theory for nonlinear analysis / 13:
Nonlinear elliptic equations / 14:
Nonlinear parabolic equations / 15:
Nonlinear hyperbolic equations / 16:
Euler and Navier-Stokes equations for incompressible fluids / 17:
Einstein's equations / 18:
Function space and operator theory for nonlinear analysis / 13:
Nonlinear elliptic equations / 14:
Nonlinear parabolic equations / 15:
24.

図書

図書
Pierre-Louis Lions
出版情報: Oxford : Clarendon Press, 1996-1998  2 v. ; 24 cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 3, 10
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Compressible models / Part 2:
Compactness results for compressible isentropic Navier-Stokes equations / 5:
Stationary problems / 6:
Existence results for Cauchy problems / 7:
Related problems / 8:
A few facts about some function spaces / Appendix A:
On a weakly continuous product / Appendix B:
A remark on the limiting case for Sobolev inequalities / Appendix C:
Continua and limits Appendix E. On sums of Lp spaces / Appendix D:
A remark on parabolic equations / Appendix F:
Bibliography of Volumes 1 and 2 Erratum (Volume 1)
Index
Preface
Presentation of the models / 1:
Incompressible Models / Part 1:
Density-dependent Navier-Stokes equations / 2:
Navier-Stokes equations / 3:
Euler equations and other incompressible models / 4:
Truncation of divergence-free vectorfields
Two facts on D1,2(R2)
Compactness in time with values in weak topologies
Weak L1 estimates for solutions of the heat equation
A short proof of the existence of renormalized solutions for parabolic equations / Appendix E:
Intended Table of Contents of Volume 2
Compressible Models
Compactness results for compressible isentropic Navier-Stokes
Existence results
Related questions
Asymptotic limites / Part 3:
Asymptotic limits / 9:
Compressible models / Part 2:
Compactness results for compressible isentropic Navier-Stokes equations / 5:
Stationary problems / 6:
25.

図書

図書
edited by Dieter Jungnickel
出版情報: Boston, Mass : Kluwer Academic, 1996  254 p. ; 25 cm
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26.

図書

図書
D.V. Anosov (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1995  235 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 66 . Dynamical systems ; 9
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目次情報:
Elliptic Boundary Problems / M.S. Agranovich
Boundary Value Problems for Elliptic Pseudodifferential Operators / A.V. Brenner ; E.M. Shargorodsky
Elliptic Boundary Value Problems in Domains with Piecewise Smooth Boundary / B.A. Plamenevskij
Elliptic Boundary Problems / M.S. Agranovich
Boundary Value Problems for Elliptic Pseudodifferential Operators / A.V. Brenner ; E.M. Shargorodsky
Elliptic Boundary Value Problems in Domains with Piecewise Smooth Boundary / B.A. Plamenevskij
27.

図書

図書
S. Agaian, J. Astola, K. Egiazarian
出版情報: New York : Dekker, c1995  xix, 302 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 191
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目次情報: 続きを見る
Preface
List of Symbols and Abbreviations
Introduction
Binary Polynomial Transforms / I:
Binary Polynomial Arithmetical and Logical Functions and Matrices / 1:
Rademacher Functions and Matrices / 1.1:
Arithmetical and Logical Binary Polynomial Functions. Constructions Using One Binary Operation / 1.3:
Walsh functions and matrices / 1.3.1:
Polynomial logical functions and matrices / 1.3.2:
Binary Polynomial Logical Functions and Matrices. Constructions Using Two Operations / 1.4:
Binary Polynomial Logical Functions and Matrices. Extensions of Dimension / 1.5:
Interval splicing matrices / 1.5.1:
Interval absorbing matrices / 1.5.2:
Fast Algorithms and Complexity of Binary Polynomial Transforms / 2:
General Approach to the Fast Algorithms of Binary Polynomial Transforms / 2.1:
Fast Rademacher Transforms / 2.3:
Fast Walsh Transforms / 2.4:
Fast Conjunctive Transforms / 2.5:
Fast Interval Transforms / 2.6:
Fast Disjunctive-Conjunctive Transforms / 2.7:
Lower Bounds of the Complexity of Some Binary Polynomial Transforms / 2.8:
Logical Correlations and Binary Polynomial Transforms / 3:
Arithmetical and Logical Correlation Functions / 3.1:
Arithmetical auto- and cross-correlation functions / 3.2.1:
Logical auto- and cross-correlation functions / 3.2.2:
Relations between the arithmetical and logical auto-correlation functions / 3.2.3:
General Auto- and Cross-Correlation Functions / 3.3:
Definitions / 3.3.1:
Properties of logical [rho]-correlation / 3.3.2:
Transform Method for Computation of Cross-Correlation / 3.4:
Computation of general cross-correlation / 3.4.1:
Computation of logical cross-correlation based on any Boolean operation / 3.4.2:
Power-Spectrum and General Wiener-Khinchine Theorem / 3.5:
Comments / 3.6:
Binary Polynomial Transforms and Digital Logic / II:
Spectral Methods in Analysis of Boolean Functions / 4:
Linear Boolean Functions / 4.1:
Positive (Monotone) Boolean Functions / 4.3:
Selfdual Boolean Functions / 4.4:
Symmetric Boolean Functions / 4.5:
Analysis of Fictitious Variables / 4.6:
Partial Derivatives of Boolean Functions / 4.7:
Activities of the Variables of Boolean Functions / 4.8:
Chow parameters and weighted Chow parameters of a Boolean function / 4.8.1:
Transfer from One Normal Form to Another and the Logical Operations over the Normal Forms / 4.9:
Connections between normal forms of Boolean functions / 4.9.1:
Logical operations over normal forms / 4.9.2:
Spectral Methods in Minimization of Boolean Functions / 5:
General Spectral Algorithms for Construction of the Abbreviated Disjunctive and Conjunctive Normal Forms of Boolean Function / 5.1:
Deadlock Tests and Abbreviated Normal Forms of Boolean Functions / 5.3:
Unconditional deadlock tests for tables / 5.3.1:
Abbreviated disjunctive and conjunctive normal forms of Boolean functions with a small number of ones (zeros) / 5.3.2:
Deadlock and Minimal Disjunctive and Conjunctive Normal Forms of Boolean Functions / 5.4:
Minimization of Positive (Monotone) Boolean Functions / 5.5:
Minimal disjunctive and conjunctive normal forms of positive Boolean functions / 5.5.1:
Minimization of the dual of a positive Boolean function / 5.5.2:
Quasi-Minimization of Boolean Functions / 5.6:
Reed-Muller Polynomials of Boolean Functions / 5.7:
Spectral approach to the construction of Reed-Muller polynomials / 5.7.1:
Spectral approach to generalized Reed-Muller polynomials construction / 5.7.2:
Applications in Nonlinear Digital Filtering / 5.8:
Median and Order Statistic Filters / 6:
Standard Median and Order Statistic Filters / 6.1:
Standard median filters in real domain / 6.2.1:
Standard median filters in binary domain / 6.2.2:
Standard median filters in complex domain / 6.2.3:
Order statistic filters / 6.2.4:
Two-dimensional median and order statistic filters / 6.2.5:
Histogram-type Algorithms of Fast Median and Order Statistic Filtering / 6.3:
Radix algorithms for finding median and order statistics / 6.3.1:
Histogram-type algorithms for one-dimensional running median and order statistic filtering / 6.3.2:
Histogram-type algorithms for two-dimensional running median and order statistic filtering / 6.3.3:
Decomposition Algorithms of Median and Order Statistic Filtering / 6.4:
Decomposition algorithms for finding median and order statistic / 6.4.1:
Decompositional algorithms for running median and order statistic filtering / 6.4.2:
Weighted Order Statistic and Stack Filters / 7:
Weighted Median and Weighted Order Statistic Filters / 7.1:
Weighted median filters in the real domain / 7.1.1:
Weighted median filters in binary domain / 7.1.2:
Weighted median filters in complex domain / 7.1.3:
Weighted order statistic filters / 7.1.4:
Histogram-Type Algorithms for Finding Weighted Order Statistics / 7.2:
Histogram-Type Algorithms for Running Weighted Order Statistic Filtering / 7.3:
Running algorithm for linearly distributed weights / 7.3.1:
Running algorithm for exponentially distributed weights / 7.3.2:
Running algorithm for combination of weights / 7.3.3:
Histogram-type algorithms for two-dimensional running weighted order statistic filtering / 7.3.4:
Decomposition Algorithms of Weighted Order Statistic Filtering / 7.4:
Stack Filters / 7.5:
Stack Filters and Threshold Decomposition / 7.5.1:
Decomposition Methods for Stack Filtering / 7.6:
Decomposition methods of stack filtering for fixed window / 7.6.1:
Decomposition methods of stack filtering for running window / 7.6.2:
Spectral Approach to Stack and Weighted Order Statistic Filters / 7.7:
Statistical Properties of Stack Filters / 8:
Noise Attenuation for Order Statistics / 8.1:
Maximum Likelihood Estimators / 8.3:
Output Distribution Functions of Weighted Order Statistic and Stack Filters / 8.4:
Output distribution functions of a stack filter / 8.4.1:
Output distribution function of a weighted order statistic filter / 8.4.2:
Joint Distributions of Stack Filters / 8.5:
Definitions and notations / 8.5.1:
Joint cumulative distribution of L stack filters / 8.5.2:
Spectral Approach to the Calculation of the Joint Distribution of Stack Filters / 8.6:
Selection Probabilities of Stack Filters / 8.7:
Definitions and properties / 8.7.1:
Selection probabilities of weighted order statistic filters / 8.7.2:
Partial derivatives of PBF and selection probability sets of stack filters / 8.7.3:
Activities of variables of Boolean functions and the combination matrix of continuous stack filters / 8.7.4:
Weighted activities of variables and joint selection probability matrix of stack filters / 8.7.5:
Sample selection probability vectors and weighted Chow parameters / 8.7.6:
Spectral Approach to the Calculation of Selection Probabilities / 8.8:
Construction of selection probability sets for continuous stack filters / 8.8.1:
Construction of joint selection probability matrix for continuous stack and WOS filters / 8.8.2:
Construction of sample selection probability vector for continuous stack filters / 8.8.3:
Construction of rank selection probability vector for continuous stack filters / 8.8.4:
Index / 8.9:
Preface
List of Symbols and Abbreviations
Introduction
28.

図書

図書
Giovanni P. Galdi
出版情報: New York : Springer-Verlag, c1994  xi, 323 p. ; 24 cm
シリーズ名: Springer tracts in natural philosophy ; v. 39 . An introduction to the mathematical theory of the Navier-Stokes equations ; v. 2
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Steady Navier-Stokes Flow in Bounded Domains
Steady Navier-Stokes Flow in Three-Dimensional Exterior Domains
Steady Navier-Stokes Flow in Two-Dimensional Exterior Domains
Steady Navier-Stokes Flow in Domains with Unbounded Boundaries
Bibliography
Steady Navier-Stokes Flow in Bounded Domains
Steady Navier-Stokes Flow in Three-Dimensional Exterior Domains
Steady Navier-Stokes Flow in Two-Dimensional Exterior Domains
29.

図書

図書
V.I. Arnol'd (ed.)
出版情報: Berlin ; New York ; Tokyo : Springer-Verlag, c1994  271 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 5 . Dynamical systems ; 5
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30.

図書

図書
Gilbert G. Walter
出版情報: Boca Raton : CRC Press, c1994  x, 248 p. ; 25 cm
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31.

図書

図書
V.I. Arnol'd (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1993  245 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 6 . Dynamical systems ; 6
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32.

図書

図書
V.I. Arnol'd (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1993  235 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 39 . Dynamical systems ; 8 . Singularity theory ; 2
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目次情報:
Singularity II
Applications / V.I. Arnol'd ; V.V. Goryunov ; O.V. Lyashko ; V.A. Vasil'ev
Singularity II
Applications / V.I. Arnol'd ; V.V. Goryunov ; O.V. Lyashko ; V.A. Vasil'ev
33.

図書

図書
by P.R. Masani
出版情報: Basel ; Boston : Birkhäuser, 1990  416 p. ; 23 cm
シリーズ名: Vita mathematica ; v. 5
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34.

図書

図書
J. Engelbrecht
出版情報: Harlow, Essex, England : Longman Scientific & Technical , New York : Wiley, 1991  280 p. ; 24 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 56
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35.

図書

図書
Roger G. Ghanem, Pol D. Spanos
出版情報: New York ; Tokyo : Springer-Verlag, c1991  x, 214 p. ; 24 cm
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36.

図書

図書
compiled by The Physics Coaching Class, University of Science and Technology of China ; refereed by Bai Gui-ru, Guo Guang-can ; edited by Lim Yung-kuo
出版情報: Singapore : World Scientific, c1991  ix, 192 p. ; 23 cm
シリーズ名: Major American Universities Ph.D. qualifying questions and solutions
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37.

図書

図書
edited by Robert Azencott
出版情報: New York : Wiley, c1992  xi, 242 p. ; 25 cm
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38.

図書

図書
by P.P.J.M. Schram
出版情報: Dordrecht ; Boston : Kluwer Academic Pub., c1991  xiii, 426 p.
シリーズ名: Fundamental theories of physics ; v. 46
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39.

図書

図書
by Yu.L. Klimontovich ; [translated from the Russian by Alexander Dubroslavsky]
出版情報: Dordrecht : Kluwer Academic Publishers, c1991  xi, 397 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 42
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40.

図書

図書
editors, V.A. Matveev ... [et al.]
出版情報: Singapore : World Scientific, c1991  xi, 560 p. ; 23 cm
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41.

図書

図書
Stephen Wolfram
出版情報: Redwood City, Calif. ; Tokyo : Addison-Wesley Pub. Co., the Advanced Book Program, c1991  xxii, 961 p. ; 24 cm
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42.

図書

図書
L. Ting, R. Klein
出版情報: Berlin ; Tokyo : Springer-Verlag, c1991  iv, 222 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 374
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43.

図書

図書
Christopher D. Sogge
出版情報: Cambridge [England] ; New York, NY, USA : Cambridge University Press, 1993  x, 236 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 105
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目次情報: 続きを見る
Background
Stationary phase / 1:
Non-homogeneous oscillatory integral operators / 2:
Pseudo-differential operators / 3:
The half-wave operator and functions of pseudo-differential operators / 4:
Lp estimates of eigenfunctions / 5:
Fourier integral operators / 6:
Local smoothing of Fourier integral operators / 7:
Appendix
Lagrangian subspaces of T*IRn
Background
Stationary phase / 1:
Non-homogeneous oscillatory integral operators / 2:
44.

図書

図書
I.M. Gelfand, S.G. Gindikin, editors ; [translated from the Russian by S. Gelfand]
出版情報: Providence, R.I. : American Mathematical Society, c1990  iii, 267 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 81
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45.

図書

図書
N.V. Banichuk
出版情報: New York : Springer-Verlag, c1990  x, 300 p. ; 24 cm
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46.

図書

図書
edited by J.S. Byrnes and Jennifer L. Byrnes
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1990  x, 686 p. ; 25 cm
シリーズ名: NATO ASI series ; Ser. C . Mathematical and physical sciences ; v. 315
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47.

図書

図書
Albrecht Pietsch & Jörg Wenzel
出版情報: Cambridge : Cambridge University Press, 1998  ix, 553 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 70
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目次情報: 続きを見る
Preface
Introduction
Preliminaries
Ideal norms and operator ideals / 1:
Ideal norms associated with matrices / 2:
Ideal norms associated with orthonormal systems / 3:
Rademacher and Gauss ideal norms / 4:
Trigonometric ideal norms / 5:
Walsh ideal norms / 6:
Haar ideal norms / 7:
Unconditionality / 8:
Miscellaneous / 9:
Summaries
List of symbols
Bibliography
Index
Preface
Introduction
Preliminaries
48.

図書

図書
David Colton, Rainer Kress
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  x, 305 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 93
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49.

図書

図書
Martin Brokate, Jürgen Sprekels
出版情報: New York : Springer, c1996  x, 357 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 121
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50.

図書

図書
Gavin J.S. Ross
出版情報: New York ; Tokyo : Springer-Verlag, c1990  viii, 189 p. ; 25 cm
シリーズ名: Springer series in statistics
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51.

図書

図書
Rajendra Bhatia
出版情報: New York : Springer, c1997  xi, 347 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 169
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52.

図書

図書
Günter Ewald
出版情報: New York ; Tokyo : Springer, c1996  xiv, 372 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 168
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53.

図書

図書
V.I. Arnolʹd, S.P. Novikov (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1994  341 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 16 . Dynamical systems ; 7
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54.

雑誌

雑誌
Institute of Mathematical Statistics
出版情報: Hayward, Calif. : Institute of Mathematical Statistics, 1991-  v. ; 26 cm
巻次年月次: Vol. 1, no. 1 (Feb. 1991)-
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55.

図書

図書
M. Holschneider
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1995  xiii, 423 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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目次情報: 続きを見る
Introduction to wavelet analysis over R / Chapter 1:
A short motivation / 1:
Time-frequency analysis / 1.1:
Wavelets and approximation theory / 1.2:
Some easy properties of the wavelet transform / 2:
Wavelet transform in Fourier space / 3:
Co-variance of wavelet transforms / 4:
Voices, zooms, and convolutions / 5:
Laplace convolution / 5.1:
Scale convolution / 5.2:
Mellin transforms / 5.3:
The basic functions: the wavelets / 6:
The real wavelets / 7:
The progressive wavelets / 8:
Progressive wavelets with real-valued frequency representation / 8.1:
Chirp wavelets / 8.2:
On the modulus of progressive functions / 8.3:
Some explicit analysed functions and easy examples / 9:
The wavelet transform of pure frequencies / 9.1:
The real oscillations / 9.2:
The onsets / 9.4:
The wavelet analysis of a hyperbolic chirp / 9.5:
Interactions / 9.6:
Two deltas / 9.7:
Delta and pure frequency / 9.8:
The influence cone and easy localization properties / 10:
Polynomial localization / 11:
More precise results / 11.1:
The influence regions for pure frequencies / 12:
The space of highly time-frequency localized functions / 13:
The inversion formula / 14:
Fourier transform in wavelet space / 14.1:
Reconstruction with singular reconstruction wavelets / 15:
The wavelet synthesis operator / 16:
Reconstruction without reconstruction wavelet / 17:
Localization properties of the wavelet synthesis / 18:
Frequency localization / 18.1:
Time localization / 18.2:
Wavelet analysis over S[subscript +](R) / 19:
Schwartz space / 19.1:
The regularity of the image space / 19.2:
The reproducing kernel / 20:
The cross-kernel / 20.1:
The wavelet transform of a white noise / 21:
The wavelet transform in L[superscript 2](R) / 22:
The inverse wavelet transform / 23:
The wavelet transform over S[prime subscript +](R) / 24:
Definition of the wavelet transform / 24.1:
The wavelet transform on S[prime](R) / 25:
A class of operators / 26:
The derivation operator and Riesz potentials / 26.1:
Differentiation and integration over S[prime subscript 0](R) / 26.2:
Singular support of distributions / 27:
Bounded sets in S[subscript 0](R) and S[prime subscript 0](R) / 28:
Some explicit wavelet transforms of distributions / 29:
The distributions..., [Characters not reproducible] / 29.1:
The distributions [Characters not reproducible] / 29.2:
Extension to higher dimensions / 30:
Proof of Theorem 11.1.1 / 31:
Discretizing and periodizing the half-plane / Chapter 2:
Interpolation
Reconstruction over voices
One single voice / 2.1:
Infinitely many voices / 2.2:
An iteration procedure
Calderon-Zygmund operators: a first contact
Reconstruction over strips
The pointwise and uniform convergence of the inversion formula
Uniform convergence in L[superscript p](R), 1< p< [infinity] / 6.1:
Pointwise convergence in L[superscript p](R), 1 [greater than or equal] p< [infinity] / 6.2:
Pointwise convergence in L[superscript infinity](R) / 6.3:
The 'Gibbs' phenomenon for s[subscript epsilon, rho]
Gibbs phenomenon / 7.1:
No Gibbs phenomenon / 7.2:
Reconstruction over cones
The Poisson summation formula
Periodic functions
The periodizing operator
Sequences and sampling
The Fourier transform over the circle
Some sampling theorems
The continuous wavelet transform over T
Wavelet analysis of S(T) and S[prime](T) / 10.1:
The wavelet transform of L[superscript 2](T) / 10.2:
Sampling of voices
Frames and moments
Some wavelet frames
Irregular sampling / 13.1:
Calderon-Zygmund operators again / 13.2:
A functional calculus
The case of self-adjoint operators
The function e[superscript itA] / 14.2:
Multi-resolution analysis / Chapter 3:
Riesz bases
The Fourier space picture
Translation invariant orthonormal basis / 1.3:
Skew projections / 1.4:
Perfect sampling spaces / 1.5:
Splines / 1.6:
Exponential localization / 1.7:
Perfect sampling spaces of spline functions / 1.8:
Sampling spaces over Z, T, and Z/NZ
Sampling space over Z
Oversampling of sampling spaces / 2.3:
Sampling spaces over T / 2.4:
Periodizing a sampling space over R / 2.5:
Periodizing a sampling space over T / 2.6:
Sampling spaces over Z/NZ / 2.7:
Quadrature mirror filters in L[superscript 2](Z)
Completing a QMF-system / 3.1:
Complements over R / 3.2:
QMF over Z/NZ and complements over T / 3.3:
Multi-resolution analysis over R
Localization and regularity of [psi] / 4.1:
Examples of multi-resolution analysis and wavelets
The Haar system
Splines wavelets
Band-limited functions
Littlewood-Paley analysis / 5.4:
The partial reconstruction operator
Multi-resolution analysis of L[superscript 2](Z)
Isometrics and the shift operator
QMF and multi-resolution analysis over Z
Wavelets over Z / 7.3:
QMF and multi-resolution analysis
Compact support
An easy regularity estimate
The dyadic interpolation spaces
The Lagrange interpolation spaces
Compactly supported wavelets
Wavelet frames
Bi-orthogonal expansions
Bi-orthogonal expansions of L[superscript 2](Z) / 12.1:
Bi-orthogonal expansions in L[superscript 2](R) / 12.2:
QMF and loop groups
The group of unitary operators with [U, T[subscript 2]] = 0
Some subclasses of QMF / 13.3:
The factorization problem / 13.5:
Multi-resolution analysis over T
Multi-resolution analysis over Z/2[superscript M]Z
Computing the discrete wavelet transform
Filterbanks over Z / 16.1:
Computing the orthonormal wavelet transform over a dyadic grid / 16.2:
More general wavelet / 16.3:
Denser grids / 16.4:
Interpolation of the voices / 16.5:
The 'a trous' algorithm / 16.6:
Computation over Z/2[superscript N]Z / 16.7:
Computing over R by using data over Z/NZ
Fractal analysis and wavelet transforms / Chapter 4:
Self-similarity and the re-normalization group
Re-normalization in wavelet-space
The order of magnitude of wavelet coefficients
Inverse theorems for global regularity
The class of Zygmund
Inverse theorems for local regularity
Pointwise differentiability and wavelet analysis
The class W[superscript alpha]
Asymptotic behaviour at small scales
The Brownian motion
The Weierstrass non-differentiable function
The Riemann-Weierstrass function
The orbit of 0
The orbit of 1
The non-degenerated fixed points
The irrational points / 6.4:
The baker's map
A family of dynamical systems and fractal measures
Self-similar fractal measure
The evolution in wavelet space
Some fractal measures
Fractal dimensions
Capacity
The generalized fractal dimensions
Fractal dimensions and wavelet transforms
Time evolution and the dimension [kappa](2)
Local self-similarity and singularities
The f([alpha]) spectrum
On the fractality of orthonormal wavelets
Group theory as unifying language / Chapter 5:
Some notions of group theory
Direct sum of groups
Quotient groups
Homomorphisms
Representations
Schur's lemma
Group action
Invariant measures
Regular representations
Group convolutions / 1.9:
Square integrable representations / 1.10:
The 'wavelet' analysis associated to square integrable representations
A priori estimates
Transformation properties
Energy conservation
The left- and right-synthesis
Co-variance
The inversion formulae
On the constant c[subscript g,h]
More general reconstruction
The reproducing kernel equation
Fourier transform over Abelian groups
The Fourier transform
Group-translations
The convolution theorem
Periodizing, sampling, and M. Poisson
Sampling
Periodization
Sampling spaces over Abelian groups
The discrete wavelet transform over Abelian groups
A group of operators
Polynomial loops: the factorization problem / 10.3:
The wavelet transform in two dimensions
Reconstruction formulae / 11.2:
A class of inverse problems / 11.3:
The Radon transform as wavelet transform
The Radon-inversion formula
Functional analysis and wavelets / Chapter 6:
Some function spaces
Wavelet multipliers
The class of highly regular Calderon-Zygmund operators (CZOs)
The dilation co-variance
Fourier multipliers as highly regular CZO
Singular integrals as highly regular CZO
Pointwise properties of highly regular CZO
Littlewood-Paley theory
The Sobolev spaces
Bibliography
Index
Introduction to wavelet analysis over R / Chapter 1:
A short motivation / 1:
Time-frequency analysis / 1.1:
56.

図書

図書
edited by Charles K. Chui
出版情報: Boston ; Tokyo : Academic Press, c1992  x, 729 p. ; 24 cm
シリーズ名: Wavelet analysis and its applications ; v. 2
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目次情報: 続きを見る
Preface
Orthogonal Wavelets / D. Pollen
Daubechies' Scaling Function on [0,3] / P.N. Heller ; H.L. Resnikoff ; R.O. Wells, Jr
Wavelet Matrices and the Representation of Discrete Functions / G.G. Walter
Wavelets and Generalized Functions
Semi-orthogonal and Nonorthogonal Wavelets / G. Battle
Cardinal Spline Interpolation and the Block Spin Construction of Wavelets / M. Unser ; A. Aldroubi
Polynomial Splines and Wavelets
A Signal Processing Perspective / A. Cohen
Biorthogonal Wavelets / J.-C. Feauveau
Nonorthogonal Multiresolution Analysis Using Wavelets
Wavelet-like Local Bases / B.K. Alpert
Wavelets and Other Bases for Fast Numerical Linear Algebra / P. Auscher
Wavelets with Boundary Conditions on the Interval / G. Weiss ; M.V. Wickerhauser
Local Sine and Cosine Bases of Coifman and Meyer and the Construction of Smooth Wavelets
Multivariate Scaling Functions and Wavelets / W.R. Madych
Some Elementary Properties of Multiresolution Analysis of L2 (Rn) / M.A. Berger ; Y. Wang
Multi-Dimensional Two-Scale Dilation Equations / J. St*adockler
Multivariate Wavelets
Short-time Fourier and Window-Radon Transforms / H.G. Feichtinger ; K. Gr*adochenig
Gabor Wavelets and the Heisenberg Group: Gabor Expansions and Short Time Fourier Transform from the Group Theoretical Point of View / G. Kaiser ; R.F. Streater
Windowed Radon Transforms, Analytic Signals, and the Wave Equation
Theory of Sampling and Interpolation / J.J. Benedetto
Irregular Sampling and Frames
Families of Wavelet Transforms in Connection with Shannon's Sampling Theory and the Gabor Transform / K. Seip
Wavelets in H2(R): Sampling, Interpolation, and Phase Space Density
Applications to Numerical Analysis and Signal Processing / S. Jaffard ; Ph. Lauren*aycot
Orthonormal Wavelets, Analysis of Operators, and Applications to Numerical Analysis / R.A. Gopinath ; C.S. Burrus
Wavelet Transforms and Filter Banks / J. Froment ; S. Mallat
Second Generation Compact Image Coding with Wavelets
Acoustic Signal Compression with Wavelet Packets
Bibliography
Subject Index
Preface
Orthogonal Wavelets / D. Pollen
Daubechies' Scaling Function on [0,3] / P.N. Heller ; H.L. Resnikoff ; R.O. Wells, Jr
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