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

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

Fredholm determinant asymptotics of convolution operators on large finite intervals with rational symbols having real zeros are studied. The explicit asymptotic formulae obtained can be considered as a direct extension of the Ahiezer-Kac formula to symbols with real zeros.

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Published in:Transactions of the American Mathematical Society Vol. 353; no. 5; pp. 1985 - 1993
Main Authors: Albeverio, Sergio, Makarov, Konstantin A.
Format: Journal Article
Language:English
Published: American Mathematical Society 01-05-2001
Subjects:
Determinants
Fourier transformations
Logarithms
Mathematical functions
Mathematical theorems
Matrices
Quantum mechanics
Symbols
Zero
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Abstract Fredholm determinant asymptotics of convolution operators on large finite intervals with rational symbols having real zeros are studied. The explicit asymptotic formulae obtained can be considered as a direct extension of the Ahiezer-Kac formula to symbols with real zeros.
AbstractList Fredholm determinant asymptotics of convolution operators on large finite intervals with rational symbols having real zeros are studied. The explicit asymptotic formulae obtained can be considered as a direct extension of the Ahiezer-Kac formula to symbols with real zeros.
Author Konstantin A. Makarov
Sergio Albeverio
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Copyright 2001 American Mathematical Society
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Snippet Fredholm determinant asymptotics of convolution operators on large finite intervals with rational symbols having real zeros are studied. The explicit...
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StartPage 1985
SubjectTerms Determinants
Fourier transformations
Logarithms
Mathematical functions
Mathematical theorems
Matrices
Quantum mechanics
Symbols
Zero
Title Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols
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