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

2015/04/03 by Anastasia V. Kisil, Kisil, Anastasia V.
Engineering · Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Physics and Engineering Research Articles #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1504.00877

openalex publication_date 2015/04/03 · openalex created_date 2022/08/15 · openalex updated_date 2026/07/28

Abstract

In this paper the Wiener--Hopf factorisation problem is presented in a\nunified framework with the Riemann--Hilbert factorisation. This allows to\nestablish the exact relationship between the two types of factorisation. In\nparticular, in the Wiener--Hopf problem one assumes more regularity than for\nthe Riemann--Hilbert problem. It is shown that Wiener--Hopf factorisation can\nbe obtained using Riemann--Hilbert factorisation on certain lines.\n

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