Some generalizations of Szegö's first limit theorem

DOI10.1007/BF01903988zbMath0582.15008OpenAlexW2331095090MaRDI QIDQ1068915

M. G. Krejn, Ilya M. Spitkovskij

Publication date: 1983

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903988

zbMATH Keywords

Szegö's first limit theoremtruncated block Toeplitz matrices

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (6)

Block-Toeplitz matrices and associated properties of a Gaussian model on a half-axis ⋮ Szegö-Kac-Achiezer formulas in terms of realizations of the symbol ⋮ Structure of positive block-matrices and nonstationary prediction ⋮ Szegő limits for infinite Toeplitz matrices determined by the Taylor series of two rational functions ⋮ Asymptotic behavior of the determinants of blocktriangular matrices in the locally sectorial case ⋮ Toeplitz matrices with an exponential growth of entries and the first Szegő limit theorem

Cites Work

• Prediction theory and Fourier series in several variables
• Period, index and potential \(\text Ш\)
• A norm inequality for a 'finite-section' Wiener-Hopf equation
• Asymptotic behavior of block Toeplitz matrices and determinants. II
• An extension of a limit theorem of G. Szegö
• The Brauer-Manin Obstruction and III[2]
• Shorted Operators
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