The relationship between a strip Wiener-Hopf problem and a line Riemann-Hilbert problem
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Authors
Kisil, AV
Abstract
In this paper, the Wiener–Hopf factorization problem is presented in a unified framework with the Riemann–Hilbert factorization. This allows to establish the exact relationship between the two types of factorization. In particular, in the Wiener–Hopf problem one assumes more regularity than for the Riemann–Hilbert problem. It is shown that Wiener–Hopf factorization can be obtained using Riemann– Hilbert factorization on certain lines.
Description
Keywords
Wiener–Hopf, Riemann-Hilbert, integral equations
Journal Title
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Conference Name
Journal ISSN
0272-4960
1464-3634
1464-3634
Volume Title
80
Publisher
Oxford University Press (OUP)
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/H023348/1)
This work was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/H023348/1 for the University of Cambridge Centre for Doctoral Training, the Cambridge Centre for Analysis.