Truncated Wiener-Hopf operators with Fisher Hartwig singularities
Functional Analysis
2022-02-22 v3
Abstract
We derive the asymptotic behavior of determinants of truncated Wiener-Hopf operators generated by symbols having Fisher-Hartwig singularities. This task is achieved thanks to an asymptotic resolution of the Riemann-Hilbert problem associated to some generalized sine kernel. As a byproduct, we give yet another derivation of the asymptotic behavior of Toeplitz determinants having Fisher-Hartwig singularities. The Riemann-Hilbert problem approach to these asymptotics yields a systematic although quickly cumbersome way to compute their sub-leading asymptotics.
Keywords
Cite
@article{arxiv.0805.3902,
title = {Truncated Wiener-Hopf operators with Fisher Hartwig singularities},
author = {K. K. Kozlowski},
journal= {arXiv preprint arXiv:0805.3902},
year = {2022}
}
Comments
68 pages (V3, minor corrections)