Hankel Operators and Their Applications - Peller, Vladimir

Hankel Operators and Their Applications

Vladimir Peller

Yayınevi: Springer

Yayın tarihi: 02/2003

ISBN: 9780387955483

Ciltli | İngilizce | 799 Sayfa |

Tür: Matematik-İstatistik

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This book is a systematic presentation of the theory of Hankel operators. It covers the many different areas of Hankel operators and presents a broad range of applications, such as approximation theory, prediction theory, and control theory. The author has gathered the various aspects of Hankel operators and presents their applications to other parts of analysis. This book contains numerous recent results, which have never before appeared in book form. The author has created a useful reference tool by pulling this material together and unifying it with a consistent notation, in some cases even simplifying the original proofs of theorems. "Hankel Operators and their Applications" will be used by graduate students as well as by experts in analysis and operator theory and will become the standard reference on Hankel operators. Vladimir Peller is Professor of Mathematics at Michigan State University. He is a leading researcher in the field of Hankel operators and he has written over 50 papers on operator theory and functional analysis.

Table of Contents
Ch. 1 An Introduction to Hankel Operators 1
Ch. 2 Vectorial Hankel Operators 61
Ch. 3 Toeplitz Operators 87
Ch. 4 Singular Values of Hankel Operators 125
Ch. 5 Parametrization of Solutions of the Nehari Problem 147
Ch. 6 Hankel Operators and Schatten-von Neumann Classes 231
Ch. 7 Best Approximation by Analytic and Meromorphic Functions 303
Ch. 8 An Introduction to Gaussian Spaces 379
Ch. 9 Regularity Conditions for Stationary Processes 415
Ch. 10 Spectral Properties of Hankel Operators 431
Ch. 11 Hankel Operators in Control Theory 453
Ch. 12 The Inverse Spectral Problem for Self-Adjoint Hankel Operators 489
Ch. 13 Wiener-Hopf Factorizations and the Recovery Problem 553
Ch. 14 Analytic Approximation of Matrix Functions 565
Ch. 15 Hankel Operators and Similarity to a Contraction 685
App. 1 705
App. 2 717
References 739
Author Index 776
Subject Index 780

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