TY  - BOOK
AU  - Nikolski, Nikolai¯
TI  - Toeplitz matrices and operators
T2  - Cambridge Studies in Advanced Mathematics
SN  - 9781107198500
U1  - 512.9434 
PY  - 2020///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Toeplitz matrices and their properties
KW  - Wiener–Hopf Integral operators
KW  - Applications in functional and harmonic analysis
KW  - Historical development and biographical context
KW  - Advanced topics and recent developments
N1  - Includes bibliographical references (p. 395-415), notation and index; 1. Why Toeplitz–Hankel? Motivations and panorama
2. Hankel and Toeplitz – brother operators on the space H2
3. H2 theory of Toeplitz operators
4. Applications: Riemann–Hilbert, Wiener–Hopf, singular integral operators (SIO)
5. Toeplitz matrices: moments, spectra
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
ER  -