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Asymptotics of determinants of Bessel operators

Estelle L. Basor·Torsten Ehrhardt
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Abstract

In this paper we determine the asymptotics of the determinant of Bessel operators for sufficiently smooth generating functions. These operators are similar to Wiener-Hopf operators with the Fourier transform replaced by the Hankel transform and thus the asymptotics of the determinanst are similar to the well-known Szegö-Akhiezer-Kac formula for truncated Wiener-Hopf determinants. In order to compute the above, we also show that the Bessel operators differ from the Wiener-Hopf by a Hilbert-Schmidt operator.

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BibTeXRIS

Estelle L. Basor, Torsten Ehrhardt. 2002-04-24. Asymptotics of determinants of Bessel operators. https://doi.org/10.1007/s00220-002-0769-1

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