Toeplitz matrices with an exponential growth of entries and the first Szegő limit theorem

DOI10.1006/jfan.1999.3543zbMath0967.47022OpenAlexW2071615058MaRDI QIDQ1975488

Alexander L. Sakhnovich

Publication date: 27 August 2001

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

Full work available at URL: https://doi.org/10.1006/jfan.1999.3543

zbMATH Keywords

Toeplitz matrixSzegő limit theoremlinear fractional transformationindefinite matrix

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (8)

Some identities for determinants of structured matrices ⋮ Szegő limits for infinite Toeplitz matrices determined by the Taylor series of two rational functions ⋮ Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions ⋮ On the inversion of the block double-structured and of the triple-structured Toeplitz matrices and on the corresponding reflection coefficients ⋮ On Szegő's theorem for a nonclassical case ⋮ Arov-Krein entropy functionals and indefinite interpolation problems ⋮ New ``Verblunsky-type coefficients of block Toeplitz and Hankel matrices and of corresponding Dirac and canonical systems ⋮ On the structure of the inverse to Toeplitz-block Toeplitz matrices and of the corresponding polynomial reflection coefficients

Cites Work

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• Some generalizations of Szegö's first limit theorem
• Szegö-Kac-Achiezer formulas in terms of realizations of the symbol
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• Toeplitz determinants with one Fisher-Hartwig singularity
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
• Factorization problems and operator identities
• Toeplitz Operators with Piecewise Quasisectorial Symbols
• Integral equations with difference kernels on finite intervals

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