Analysis of Toeplitz Operators
Title | Analysis of Toeplitz Operators PDF eBook |
Author | Albrecht Böttcher |
Publisher | Springer Science & Business Media |
Pages | 511 |
Release | 2013-06-29 |
Genre | Mathematics |
ISBN | 366202652X |
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.
Analysis of Toeplitz Operators
Title | Analysis of Toeplitz Operators PDF eBook |
Author | A. Böttcher |
Publisher | Walter de Gruyter GmbH & Co KG |
Pages | 512 |
Release | 1989-12-31 |
Genre | Mathematics |
ISBN | 3112707192 |
No detailed description available for "Analysis of Toeplitz Operators".
Toeplitz Matrices and Operators
Title | Toeplitz Matrices and Operators PDF eBook |
Author | Nikolaï Nikolski |
Publisher | Cambridge University Press |
Pages | 453 |
Release | 2020-01-02 |
Genre | Mathematics |
ISBN | 110719850X |
A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.
A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds
Title | A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds PDF eBook |
Author | Yohann Le Floch |
Publisher | Springer |
Pages | 142 |
Release | 2018-09-19 |
Genre | Mathematics |
ISBN | 331994682X |
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.
Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators
Title | Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators PDF eBook |
Author | Albrecht Böttcher |
Publisher | Birkhäuser |
Pages | 408 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3034889224 |
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997. This book is a self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols and singular integral operators with piecewise continuous coefficients. It includes an introduction to Carleson curves, Muckenhoupt weights, weighted norm inequalities, local principles, Wiener-Hopf factorization, and Banach algebras generated by idempotents. Some basic phenomena in the field and the techniques for treating them came to be understood only in recent years and are comprehensively presented here for the first time. The material has been polished in an effort to make advanced topics accessible to a broad readership. The book is addressed to a wide audience of students and mathematicians interested in real and complex analysis, functional analysis and operator theory.
Toeplitz Operators and Index Theory in Several Complex Variables
Title | Toeplitz Operators and Index Theory in Several Complex Variables PDF eBook |
Author | Harald Upmeier |
Publisher | Springer Science & Business Media |
Pages | 512 |
Release | 1995-01-26 |
Genre | Mathematics |
ISBN | 9783764352820 |
4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.
Invertibility and Asymptotics of Toeplitz Matrices
Title | Invertibility and Asymptotics of Toeplitz Matrices PDF eBook |
Author | A. Bottcher |
Publisher | Walter de Gruyter GmbH & Co KG |
Pages | 200 |
Release | 1983-12-31 |
Genre | Mathematics |
ISBN | 3112760417 |
No detailed description available for "Invertibility and Asymptotics of Toeplitz Matrices".