On the asymptotics of certain Wiener-Hopf-plus-Hankel determinants

Details On the asymptotics of certain Wiener-Hopf-plus-Hankel determinants On the asymptotics of certain Wiener-Hopf-plus-Hankel determinants

2005-02-02

arxiv.org/abs/math/0502039v1

Mathematics

Functional Analysis

38 pages

Scientific paper

In this paper we determine the asymptotics of the determinants of truncated
Wiener-Hopf plus Hankel operators $\det(W_R(a)\pm H_R(a))$ as $R$ tends to
infinity for symbols $a(x)=(x^2/(1+x^2))^\beta$ with the parameter $\beta$
being of small size.

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