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Toeplitz Matrices and Operators (Cambridge Studies in Advanced Mathematics #182) (Hardcover)

Toeplitz Matrices and Operators (Cambridge Studies in Advanced Mathematics #182) Cover Image
By Nikolaï Nikolski, Danièle Gibbons (Translator), Greg Gibbons (Translator)
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Description


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.

Product Details
ISBN: 9781107198500
ISBN-10: 110719850X
Publisher: Cambridge University Press
Publication Date: February 13th, 2020
Pages: 450
Language: English
Series: Cambridge Studies in Advanced Mathematics