New York Journal of Mathematics
Volume 11 (2005) 171-203

Volume 11

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Estelle L. Basor and Torsten Ehrhardt

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

Published: May 31, 2005
Keywords: Wiener-Hopf operator, Hankel operator, determinant, asymptotics
Subject: 47B35
Abstract
In this paper we determine the asymptotics of the determinants of truncated Wiener-Hopf plus Hankel operators det (WR(a)\pm HR(a)) as R→\infty for symbols a(x)=( x2/(1+x2))β with the parameter β being of small size.
Acknowledgements

The first author was supported in part by NSF Grant DMS-0200167.
Author information

Estelle L. Basor:
Department of Mathematics, California Polytechnic State University, San Luis Obispo, CA 93407, USA
ebasor@calpoly.edu

Torsten Ehrhardt:
Department of Mathematics, University of California, Santa Cruz, CA 95064, USA
ehrhardt@math.ucsc.edu