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1.

図書

図書
Anton Deitmar
出版情報: New York : Springer, c2002  xi, 151 p. ; 25 cm
シリーズ名: Universitext
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2.

図書

図書
Nikolai K. Nikolski ; translated by Andreas Hartmann
出版情報: Providence, R.I. : American Mathematical Society, c2002  xiv, 439 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 93 . Operators, functions, and systems : an easy reading ; v. 2
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Model operators and free interpolation: Contents Foreword to part C The basic function model
Elements of spectral theory in the language of the characteristic function
Decompositions into invariant subspaces and free interpolation
Analytic problems in linear system theory: Contents Foreword to part D Basic theory
First optimizations: Multiplicity of the spectrum and the DISC
Eigenvector decompositions, vector valued exponentials, and squared optimization
A glance at bases of exponentials and of reproducing kernels A brief
Introduction to $H^{\infty}$ control
Bibliography Author
Index Subject
Index Symbol
Index Errata to volume 1
Model operators and free interpolation: Contents Foreword to part C The basic function model
Elements of spectral theory in the language of the characteristic function
Decompositions into invariant subspaces and free interpolation
3.

図書

図書
by William Elwood Byerly
出版情報: New York : Dover, 1959, c1893  ix, 287 p. ; 21 cm
シリーズ名: Dover books on mathematics
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4.

図書

図書
Anton Deitmar
出版情報: New York : Springer, c2005  xii, 192 p. ; 24 cm
シリーズ名: Universitext
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5.

図書

図書
Jean-Philippe Anker, Bent Orsted, editors
出版情報: Boston : Birkhäuser, c2005  viii, 175 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 230
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目次情報: 続きを見る
Preface
The Plancherel Theorem for a Reductive Symmetric Space / E.P.van den Ban
The Paley-Wiener Theorem for a Reductive Symmetric Space / H. Schlichtkrull
The Plancherel / P. Delorme
Formula on Reductive
Symmetric Spaces from the Point of View of the Schwartz Space
Preface
The Plancherel Theorem for a Reductive Symmetric Space / E.P.van den Ban
The Paley-Wiener Theorem for a Reductive Symmetric Space / H. Schlichtkrull
6.

図書

図書
Ivan Cherednik
出版情報: Cambridge : Cambridge University Press, 2005  xii, 434 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 319
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Introduction / 0:
KZ and QMBP / 1:
One-dimensional DAHA / 2:
General theory / 3:
Introduction / 0:
KZ and QMBP / 1:
One-dimensional DAHA / 2:
7.

図書

図書
Hartmut Führ
出版情報: Berlin : Springer, c2005  x, 193 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1863
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目次情報: 続きを見る
Introduction / 1:
The Point of Departure / 1.1:
Overview of the Book / 1.2:
Preliminaries / 1.3:
Wavelet Transforms and Group Representations / 2:
Haar Measure and the Regular Representation / 2.1:
Coherent States and Resolutions of the Identity / 2.2:
Continuous Wavelet Transforms and the Regular Representation / 2.3:
Discrete Series Representations / 2.4:
Selfadjoint Convolution Idempotents and Support Properties / 2.5:
Discretized Transforms and Sampling / 2.6:
The Toy Example / 2.7:
The Plancherel Transform for Locally Compact Groups / 3:
A Direct Integral View of the Toy Example / 3.1:
Regularity Properties of Borel Spaces / 3.2:
Direct Integrals / 3.3:
Direct Integrals of Hilbert Spaces / 3.3.1:
Direct Integrals of von Neumann Algebras / 3.3.2:
Direct Integral Decomposition / 3.4:
The Dual and Quasi-Dual of a Locally Compact Group / 3.4.1:
Central Decompositions / 3.4.2:
Type I Representations and Their Decompositions / 3.4.3:
Measure Decompositions and Direct Integrals / 3.4.4:
The Plancherel Transform for Unimodular Groups / 3.5:
The Mackey Machine / 3.6:
Operator-Valued Integral Kernels / 3.7:
The Plancherel Formula for Nonunimodular Groups / 3.8:
The Plancherel Theorem / 3.8.1:
Construction Details / 3.8.2:
Plancherel Inversion and Wavelet Transforms / 4:
Fourier Inversion and the Fourier Algebra / 4.1:
Plancherel Inversion / 4.2:
Admissibility Criteria / 4.3:
Admissibility Criteria and the Type I Condition / 4.4:
Wigner Functions Associated to Nilpotent Lie Groups / 4.5:
Admissible Vectors for Group Extensions / 5:
Quasiregular Representations and the Dual Orbit Space / 5.1:
Concrete Admissibility Conditions / 5.2:
Concrete and Abstract Admissibility Conditions / 5.3:
Wavelets on Homogeneous Groups / 5.4:
Zak Transform Conditions for Weyl-Heisenberg Frames / 5.5:
Sampling Theorems for the Heisenberg Group / 6:
The Heisenberg Group and Its Lattices / 6.1:
Main Results / 6.2:
Reduction to Weyl-Heisenberg Systems / 6.3:
Weyl-Heisenberg Frames / 6.4:
Proofs of the Main Results / 6.5:
A Concrete Example / 6.6:
References
Index
Introduction / 1:
The Point of Departure / 1.1:
Overview of the Book / 1.2:
8.

図書

図書
Katsumi Nomizu, editor
出版情報: Providence, R.I. : Amercican Mathematical Society, c1998  x, 143 p. ; 27 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 183
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Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory / T. Kobayashi
Actions of loop groups, deformations of harmonic maps, and their applications / M. A. Guest ; Y. Ohnita
The Capelli identities, a century after / T. Umeda
On representation of the classical groups / K. Koike
Around the theory of the generalized weight system: Relations with singularity theory, the generalized Weyl group and its invariant theory, etc. / K. Saito
Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory / T. Kobayashi
Actions of loop groups, deformations of harmonic maps, and their applications / M. A. Guest ; Y. Ohnita
The Capelli identities, a century after / T. Umeda
9.

図書

図書
V.P. Havin, N.K. Nikolski, (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1998  viii, 325 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 25 . Commutative harmonic analysis ; 2
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10.

図書

図書
edited by Michael Christ, Carlos E. Kenig, and Cora Sadosky
出版情報: Chicago, Ill. : University of Chicago Press, 1999  xv, 355 p. ; 24 cm
シリーズ名: Chicago lectures in mathematics
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目次情報: 続きを見る
Preface
Introduction / Michael Christ ; Carlos E. Kenig ; Cora Sadosky
Calderon and Zygmund's Theory of Singular Integrals / Elias M. Stein1:
Transference Principles in Ergodic Theory / Alexandra Bellow2:
A Weak-Type Inequality for Convolution Products / Alberto P. Calderon3:
Transference Couples and Weighted Maximal Estimates Earl / Berkson ; Maciej Paluszynski ; Guido Weiss4:
Periodic Solutions and Nonlinear Wave Equations / Jean Bourgain5:
Some Extremal Problems in Martingale Theory and Ilarmonic Analysis / Donald L. Burkholder6:
The Monge Ampere Equation, Allocation Problems, and Elliptic Systems with Affine Invariance / Luis A. Caffarelli7:
On a Fourth-Order Partial Differential Equation in Conformal Geometry / Sun-Yung A. Chang8:
Riesz Transforms, Commutators, and Stochastic Integrals / A. B. Cruzeiro ; P. Malliavin9:
An Application of a Formula of Alberto Calderon to Speaker Identification Ingrid / Daubechies ; Stephane Maes10:
Analytic Capacity, Cauchy Kernel, Menger Curvature, and Rectifiability / Guy David11:
Symplectic Subunit Balls and Algebraic Functions / Charles Fefferman12:
Multiparameter Calderon-Zygmund Theory / Robert A. Fefferman13:
Nodal Sets of Sums of Eigenfunctions / David Jerison ; Gilles Lebeau14:
Large-Time Behavior and Self-Similar Solutions of Some Semilinear Diffusion Equations / Yves Meyer15:
Estimates for Elliptic Equations in Unbounded Domains and Applications to Symmetry and Monotonicity / Louis Nirenberg16:
Asymptotic Expansions for Atiyah-Patodi-Singer Problems / Robert Seeley17:
Analysis on Metric Spaces / Stephen Semmes18:
Developments in Inverse Problems since Calderon's Foundational Paper Gunther Uhlmann Remarks Addressed to the Conference / 19:
Contributors
Index
Calderón and Zygmund's Theory of Singular Integrals
Transference Couples and Weighted Maximal Estimates Earl Berkson / Alberto P. Calderón
An Application of a Formula of Alberto Calderón to Speaker Identification / Ingrid Daubechies ; Stéphane Maes
Multiparameter Calderón-Zygmund Theory
Developments in Inverse Problems since Calderón's Foundational Paper Gunther Uhlmann Remarks Addressed to the Conference
Preface
Introduction / Michael Christ ; Carlos E. Kenig ; Cora Sadosky
Calderon and Zygmund's Theory of Singular Integrals / Elias M. Stein1:
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