Toeplitz matrices and operators

by Nikolʹskiĭ, N. K., (Nikolaĭ Kapitonovich)

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Title Statements

Full title :Toeplitz matrices and operators / Nikolaï Nikolski ; translated by Danièle Gibbons, Greg Gibbons.

Summary

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.

Edition Statements

Publication Date:2020.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge, United Kingdom
Language:eng
Publication Date:2020.

Notes

Originally published as: Matrices et opérateurs de Toeplitz by Calvage et Mounet, 2017.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9781108182577, 1108182577
oclc:on1132272138
LC Classification:QA188
Dewey Decimal:512.9/434

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