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

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arxiv math/0502039 v1 pith:UT42JHEC submitted 2005-02-02 math.FA

Estelle L. Basor , Torsten Ehrhardt This is my paper
classification math.FA
keywords asymptoticsbetadeterminantscertaindeterminehankelinfinityoperators
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abstract

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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 11 citations worldwide. Full citation record

  1. Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlev\'e VI distribution

    math-ph 2026-03 conditional novelty 7.0 of 10

    The full persistence distribution in 1D Ising coarsening equals a Pfaffian Fredholm determinant of the sech kernel and is controlled by a Painlevé VI equation that is the mean curvature of a Bonnet surface.

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