The relationship between a strip Wiener--Hopf problem and a line Riemann--Hilbert problem
IMA Journal of Applied Mathematics
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Kisil, A. (2015). The relationship between a strip Wiener--Hopf problem and a line Riemann--Hilbert problem. IMA Journal of Applied Mathematics, 80 1569-1581. https://doi.org/10.1093/imamat/hxv007
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.
Wiener–Hopf, Riemann-Hilbert, integral equations
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.
External DOI: https://doi.org/10.1093/imamat/hxv007
This record's URL: https://www.repository.cam.ac.uk/handle/1810/248072
Attribution 2.0 UK: England & Wales
Licence URL: http://creativecommons.org/licenses/by/2.0/uk/
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