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In this paper the Wiener--Hopf factorisation problem is presented in aunified framework with the Riemann--Hilbert factorisation. This allows toestablish the exact relationship between the two types of factorisation. Inparticular, in the Wiener--Hopf problem one assumes more regularity than forthe Riemann--Hilbert problem. It is shown that Wiener--Hopf factorisation canbe obtained using Riemann--Hilbert factorisation on certain lines.

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