Toeplitz matrices and operators

✍ Scribed by Gibbons, Danièle; Gibbons, Greg; Nikolski, Nikolai K

• Publisher: Cambridge University Press
• Year: 2020
• Tongue: English
• Leaves: 454
• Series: Cambridge studies in advanced mathematics 182
• Category: Library

✦ Synopsis

Why Toeplitz-Hankel? Motivations and panorama -- Hankel and Toeplitz--brother pperators on the Space H2 -- H2 theory of Toeplitz operators -- Applications : Riemann-Hilbert, Wiener-Hopf, and SIO -- Toeplitz matrices : moments, spectra, asymptotics.

✦ Table of Contents

Cover......Page 1
Front Matter......Page 2
CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS......Page 3
Toeplitz Matrices and Operators......Page 5
Copyright......Page 6
Dedication......Page 7
Contents......Page 9
Preface......Page 15
Acknowledgments......Page 19
Biographies......Page 21
Figures......Page 23
1 Why Toeplitz–Hankel? Motivationsand Panorama......Page 25
2 Hankel and Toeplitz: Sibling Operatorson the Space H2......Page 55
3 H2 Theory of Toeplitz Operators......Page 125
4 Applications: Riemann–Hilbert, Wiener–Hopf,Singular Integral Operators (SIO)......Page 202
5 Toeplitz Matrices: Moments, Spectra,Asymptotics......Page 254
Appendix A.Key Notions of Banach Spaces......Page 353
Appendix B.Key Notions of Hilbert Spaces......Page 357
Appendix C.An Overview of Banach Algebras......Page 363
Appendix D.Linear Operators......Page 372
Appendix E.Fredholm Operators and the Noether Index......Page 383
Appendix F.A Brief Overview of Hardy Spaces......Page 411
References......Page 419
Notation......Page 440
Index......Page 443

✦ Subjects

Hankel-Matrix;Toeplitz matrices;Toeplitz-Matrix;Toeplitz-Operator;Toeplitz operators