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

Albeverio, Sergio; Makarov, Konstantin

doi:10.1090/S0002-9947-01-02752-0

Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols
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by Sergio Albeverio and Konstantin A. Makarov PDF

Trans. Amer. Math. Soc. 353 (2001), 1985-1993

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.

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