The relationship between a strip Wiener--Hopf problem and a line Riemann--Hilbert problem
View / Open Files
Authors
Kisil, Anastasia
Publication Date
2015-03-31Journal Title
IMA Journal of Applied Mathematics
ISSN
0272-4960
Publisher
OUP
Volume
80
Pages
1569-1581
Language
English
Type
Article
Metadata
Show full item recordCitation
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
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.
Keywords
Wiener–Hopf, Riemann-Hilbert, integral equations
Sponsorship
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.
Funder references
EPSRC (EP/H023348/1)
Identifiers
External DOI: https://doi.org/10.1093/imamat/hxv007
This record's URL: https://www.repository.cam.ac.uk/handle/1810/248072
Rights
Attribution 2.0 UK: England & Wales
Licence URL: http://creativecommons.org/licenses/by/2.0/uk/
Recommended or similar items
The following licence files are associated with this item: