Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols

DOI10.1090/S0002-9947-01-02752-0zbMath0969.45010OpenAlexW1897781815MaRDI QIDQ2701691

Sergio A. Albeverio, Konstantin A. Makarov

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02752-0

zbMATH Keywords

asymptoticsFredholm determinantconvolution operatorWiener-Hopf operatorAhiezer-Kac formula

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Asymptotics of solutions to integral equations (45M05) Integral operators (45P05) Integral operators (47G10)

Cites Work

• Szegö-Kac-Achiezer formulas in terms of realizations of the symbol
• Classes of linear operators. Vol. I
• Nontrivial attractors in a model related to the three-body quantum problem
• The Efimov effect and an extended Szegő-Kac limit theorem
• Asymptotic behavior of Toeplitz matrices and determinants
• Toeplitz matrices, translation kernels and a related problem in probability theory
• WIENER-HOPE Determinants with Rational Symbols
• The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders
• Toeplitz Matrices Generated by the Laurent Series Expansion of an Arbitrary Rational Function
• Asymptotic Formulas for Toeplitz Determinants
• Toeplitz Determinants with Singular Generating Functions
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