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

Functional Analysis 2007-05-23 v1

Abstract

In this paper we determine the asymptotics of the determinants of truncated Wiener-Hopf plus Hankel operators det(WR(a)±HR(a))\det(W_R(a)\pm H_R(a)) as RR tends to infinity for symbols a(x)=(x2/(1+x2))βa(x)=(x^2/(1+x^2))^\beta with the parameter β\beta being of small size.

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Cite

@article{arxiv.math/0502039,
  title  = {On the asymptotics of certain Wiener-Hopf-plus-Hankel determinants},
  author = {Estelle L. Basor and Torsten Ehrhardt},
  journal= {arXiv preprint arXiv:math/0502039},
  year   = {2007}
}

Comments

38 pages