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arXiv · 1504.00877

The relationship between a strip Wiener--Hopf problem and a line Riemann--Hilbert problem

Anastasia V. Kisil
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Abstract

In this paper the Wiener--Hopf factorisation problem is presented in a unified framework with the Riemann--Hilbert factorisation. This allows to establish the exact relationship between the two types of factorisation. In particular, in the Wiener--Hopf problem one assumes more regularity than for the Riemann--Hilbert problem. It is shown that Wiener--Hopf factorisation can be obtained using Riemann--Hilbert factorisation on certain lines.

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Anastasia V. Kisil. 2015-04-03. The relationship between a strip Wiener--Hopf problem and a line Riemann--Hilbert problem. https://arxiv.org/abs/1504.00877

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