# Truncated Wiener-Hopf operators with Fisher Hartwig singularities

Source: [Truncated Wiener-Hopf operators with Fisher Hartwig singularities](<https://www.sota2.com/research/paper/68fa58fd1e209131ce9b2d6b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:56:00.061Z

Authors: K. K. Kozlowski

Published: 2008-05-26T09:20:29.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0805.3902>)

[PDF](<https://arxiv.org/pdf/0805.3902.pdf>)