The Wiener-Hopf technique, its generalizations and applications: constructive and approximate methods.

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Authors
  Kisil, Anastasia V
Abrahams, I David
  Mishuris, Gennady
  Rogosin, Sergei V
Publication Date
2021-10
Journal Title
Proc Math Phys Eng Sci
ISSN
1364-5021
Publisher
The Royal Society
Volume
477
Issue
2254
Language
en
Type
Article
This Version
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Citation
Kisil, A. V., Abrahams, I. D., Mishuris, G., & Rogosin, S. V. (2021). The Wiener-Hopf technique, its generalizations and applications: constructive and approximate methods.. Proc Math Phys Eng Sci, 477 (2254) https://doi.org/10.1098/rspa.2021.0533
Abstract
This paper reviews the modern state of the Wiener-Hopf factorization method and its generalizations. The main constructive results for matrix Wiener-Hopf problems are presented, approximate methods are outlined and the main areas of applications are mentioned. The aim of the paper is to offer an overview of the development of this method, and demonstrate the importance of bringing together pure and applied analysis to effectively employ the Wiener-Hopf technique.
Keywords
Special feature, Review articles, Wiener–Hopf, Riemann–Hilbert, factorization, partial indices, Riemann boundary value problem, applications
Sponsorship
Royal Society (Dorothy Hodgkin Research Fellowship, Wolfson Research Merit Award and Ser Cymru Future)
Belarusian Republican Foundation for Fundamental Research (F20MS-083)
Engineering and Physical Sciences Research Council (EP/R014604/1)
Identifiers
rspa20210533
External DOI: https://doi.org/10.1098/rspa.2021.0533
This record's URL: https://www.repository.cam.ac.uk/handle/1810/329654
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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