Szegö-Kac-Achiezer formulas in terms of realizations of the symbol

DOI10.1016/0022-1236(87)90037-1zbMath0621.47028OpenAlexW2074435739MaRDI QIDQ1089891

Israel Gohberg, F. van Schagen, Marinus A. Kaashoek

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90037-1

zbMATH Keywords

integral operatorstrace classblock Toeplitz operatorcontinuous kernelsKac-Achiezer formulas for Wiener-Hopf operatorsRiesz projectionsstrong Szegö limitSzegö limit formulas

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Two remarks on spectral approximations for Wiener-Hopf operators, Inverse spectral problems for difference operators with rational scattering matrix function, Szegő limits for infinite Toeplitz matrices determined by the Taylor series of two rational functions, Logarithmic integrals and system dynamics: an analogue of Bode's sensitivity integral for continuous-time, time-varying systems, Harold Widom’s work in Toeplitz operators, Trace formulas for a class of truncated block Toeplitz operators, Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols, Toeplitz matrices with an exponential growth of entries and the first Szegő limit theorem, Tradeoffs in linear time-varying systems: An analogue of Bode's sensitivity integral, Connections between the Carathéodory-Toeplitz and the Nehari extension problems: The discrete scalar case

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