000			02178nam a2200277Ia 4500
005			20250425153023.0
008			230706s9999 xx 000 0 eng d
020			_a9781107198500 _qhbk.
041			_aeng
082			_a512.9434 _bNIK
100			_aNikolski, Nikolai¯
245		0	_aToeplitz matrices and operators / _cNikolai¯ Nikolski
250			_a1st ed.
260			_bCambridge University Press : _c2020. _aCambridge
300			_axxii, 430 p : _c22 cm.
490			_aCambridge Studies in Advanced Mathematics.
504			_aIncludes bibliographical references (p. 395-415), notation and index.
505			_a1. 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,
520			_aThe 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.
650			_aToeplitz matrices and their properties.
650			_aWiener–Hopf Integral operators.
650			_aApplications in functional and harmonic analysis.
650			_aHistorical development and biographical context.
650			_aAdvanced topics and recent developments.
942			_cENG
999			_c130418 _d130418