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Analysis of Toeplitz Operators (Springer Monographs in Mathematics)

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Analysis of Toeplitz Operators (Springer Monographs in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Toeplitz operators arise in plenty of applications. They constitute one of the most important classes of non-selfadjoint operators, and the ideas and methods prevailing in the field of Toeplitz operators are a fascinating illustration of the fruitful interplay between operator theory, complex analysis, and Banach algebra techniques. This book is a systematic introduction to the advanced analysis of block Toeplitz operators and includes both classical results and recent developments. Its first edition has been a standard reference for fifteen years. The present second edition is enriched by several results obtained only in the last decade. The topics treated range from the analysis of locally sectorial matrix functions through Toeplitz and Wiener-Hopf operators on Banach spaces, projection methods, and quarter-plane operators up to Toeplitz and Wiener-Hopf determinants. The book is addressed to both graduate students approaching the subject for the first time and specialists in the theory of Toeplitz operators, but should also be of interest to physicists, probabilists, and computer scientists.

Synopsis:

A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.

Table of Contents

Auxiliary material.- Basic theory.- Symbol analysis.- Toeplitz operators on H2.- Toeplitz operators on Hp.- Toeplitz operators on Lp.- Finite section method.- Toeplitz operators over the quarter-plane.- Wiener-Hopf integral operators.- Toeplitz determinants.

Product Details

ISBN:
9783540324348
Author:
Bottcher, Albrecht
Publisher:
Springer
Author:
Silbermann, Bernd
Author:
Bttcher, Albrecht
Author:
Bvttcher, Albrecht
Author:
Karlovich, Alexei Yurjevich
Author:
Bc6ttcher, Albrecht
Subject:
Toeplitz operators.
Subject:
Mathematical Analysis
Subject:
Mathematical Physics
Subject:
Probability & Statistics - General
Subject:
46E25, 47B35, 47L15, 65F99
Subject:
Hankel
Subject:
MSC (2000): 15A15, 30D55, 42A50, 45E10
Subject:
Projection method
Subject:
singular integral
Subject:
Wiener-Hopf operators.
Subject:
Operator theory
Subject:
Functional Analysis
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Probability Theory and Stochastic Processes
Subject:
Probability Theory and Stochastic Processes <P>First systematical and at the same time the most comprehensive presentation of the large body of knowledge one has gained for Toeplitz operators, including many techniques and results that are due to the auth
Subject:
Mathematics-Analysis General
Copyright:
Edition Description:
2nd ed. 2006
Series:
Springer Monographs in Mathematics
Publication Date:
20060511
Binding:
HARDCOVER
Language:
English
Pages:
679
Dimensions:
235 x 155 mm

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Related Subjects

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Analysis of Toeplitz Operators (Springer Monographs in Mathematics) New Hardcover
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Product details 679 pages Springer - English 9783540324348 Reviews:
"Synopsis" by , A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.
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