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Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols
Authors:Sergio Albeverio  Konstantin A Makarov
Institution:Institut für Angewandte Mathematik, Universität Bonn, 53115 Bonn, Germany, SFB 237 (Essen-Bochum-Düsseldorf), BiBoS (Bielefeld-Bochum/Bonn), CERFIM (Locarno) ; Department of Mathematics, University of Missouri, Columbia, Missouri 65211
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.

Keywords:
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