TY  - BOOK
AU  - Nikol�ski�i,N.K.
AU  - Gibbons,Dani�ele
AU  - Gibbons,Greg
TI  - Toeplitz matrices and operators
T2  - Cambridge studies in advanced mathematics ,
SN  - 9781108182577 (ebook)
AV  - QA188 .N5513 2020
U1  - 512.9/434 23
PY  - 2020///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Toeplitz matrices
KW  - Toeplitz operators
N1  - Title from publisher's bibliographic system (viewed on 18 Dec 2019)
N2  - 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
UR  - https://doi.org/10.1017/9781108182577
ER  -