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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Bibliographic Details
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
Online Access:	Get full text
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Description
Summary:	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.
ISSN:	0002-9947 1088-6850
DOI:	10.1090/S0002-9947-01-02752-0