Toeplitz matrices and operators
Nikolski, Nikolai
Toeplitz matrices and operators - Cambridge: Cambridge University Press, 2000. - xxii, 430 p. : ill. ; hb, 24 cm. - Cambridge studies in advanced mathematics ; 182. .
Includes bibliographical references and index.
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.
9781107198500
Toeplitz matrices
Toeplitz operators
General principles of mathematics
512.9434 / NIK
Toeplitz matrices and operators - Cambridge: Cambridge University Press, 2000. - xxii, 430 p. : ill. ; hb, 24 cm. - Cambridge studies in advanced mathematics ; 182. .
Includes bibliographical references and index.
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.
9781107198500
Toeplitz matrices
Toeplitz operators
General principles of mathematics
512.9434 / NIK
