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
Language
eng
Type
Article
This Version
VoR
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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 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
Applications, Factorization, Riemann Boundary Value Problem, Riemann–hilbert, Wiener–hopf, Partial Indices
Sponsorship
Engineering and Physical Sciences Research Council (EP/R014604/1)
Identifiers
35153588, PMC8526176
External DOI: https://doi.org/10.1098/rspa.2021.0533
This record's URL: https://www.repository.cam.ac.uk/handle/1810/335199
Rights
Attribution 4.0 International
Licence URL: https://creativecommons.org/licenses/by/4.0/
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Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International