- Publisher: Cambridge University Press
- Online publication date: December 2019
- Print publication year: 2020
- Online ISBN: 9781108182577
- DOI: https://doi.org/10.1017/9781108182577
The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others. This friendly introduction to Toeplitz theory covers the classical spectral theory of Toeplitz forms and Wiener–Hopf integral operators and their manifestations throughout modern functional analysis. Numerous solved exercises illustrate the results of the main text and introduce subsidiary topics, including recent developments. Each chapter ends with a survey of the present state of the theory, making this a valuable work for the beginning graduate student and established researcher alike. With biographies of the principal creators of the theory and historical context also woven into the text, this book is a complete source on Toeplitz theory.
Albrecht Böttcher - Technische Universität Chemnitz, Germany
Jonathan Partington - University of Leeds
Ilya Spitkovsky - New York University Abu Dhabi
J. A. Bakal Source: Choice
Allen Stenger Source: MAA Reviews
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