Transactions of the American Mathematical Society

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

Author(s): Sergio Albeverio; Konstantin A. Makarov
Journal: Trans. Amer. Math. Soc. 353 (2001), 1985-1993.
MSC (1991): Primary 45P05, 47B35; Secondary 47A68, 47G10
Posted: January 10, 2001
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 45P05, 47B35, 47A68, 47G10

Sergio Albeverio
Affiliation: Institut für Angewandte Mathematik, Universität Bonn, 53115 Bonn, Germany, SFB 237 (Essen-Bochum-Düsseldorf), BiBoS (Bielefeld-Bochum/Bonn), CERFIM (Locarno)
Email: Albeverio@uni-bonn.de

Konstantin A. Makarov
Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email: makarov@azure.math.missouri.edu

DOI: 10.1090/S0002-9947-01-02752-0
PII: S 0002-9947(01)02752-0
Received by editor(s): October 17, 1997
Posted: January 10, 2001
Copyright of article: Copyright 2001, by the authors

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