Loading...
The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
Kisil, Anastasia V.; orcid: 0000-0001-7652-5880; email: anastasia.kisil@manchester.ac.uk Abrahams, I. David Mishuris, Gennady; orcid: 0000-0003-2565-1961 Rogosin, Sergei V.; orcid: 0000-0002-7356-1656
Kisil, Anastasia V.; orcid: 0000-0001-7652-5880; email: anastasia.kisil@manchester.ac.uk
Abrahams, I. David
Mishuris, Gennady; orcid: 0000-0003-2565-1961
Rogosin, Sergei V.; orcid: 0000-0002-7356-1656
Advisors
Editors
Other Contributors
Affiliation
EPub Date
Publication Date
2021-10-20
Submitted Date
2021-07-01
Collections
Other Titles
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.
Citation
Proceedings of the Royal Society A, volume 477, issue 2254, page 20210533
Publisher
The Royal Society
Journal
Research Unit
DOI
PubMed ID
PubMed Central ID
Type
article
Language
Description
From The Royal Society via Jisc Publications Router
History: received 2021-07-01, accepted 2021-09-10, pub-electronic 2021-10-20, pub-print 2021-10-27
Article version: VoR
Publication status: Published
Funder: Royal Society; Id: http://dx.doi.org/10.13039/501100000288; Grant(s): Dorothy Hodgkin Research Fellowship, Wolfson Research Merit Award and Ser Cymru Future
Funder: Belarusian Republican Foundation for Fundamental Research; Id: http://dx.doi.org/10.13039/100007595; Grant(s): F20MS-083
Funder: Engineering and Physical Sciences Research Council; Id: http://dx.doi.org/10.13039/501100000266; Grant(s): EP/R014604/1
History: received 2021-07-01, accepted 2021-09-10, pub-electronic 2021-10-20, pub-print 2021-10-27
Article version: VoR
Publication status: Published
Funder: Royal Society; Id: http://dx.doi.org/10.13039/501100000288; Grant(s): Dorothy Hodgkin Research Fellowship, Wolfson Research Merit Award and Ser Cymru Future
Funder: Belarusian Republican Foundation for Fundamental Research; Id: http://dx.doi.org/10.13039/100007595; Grant(s): F20MS-083
Funder: Engineering and Physical Sciences Research Council; Id: http://dx.doi.org/10.13039/501100000266; Grant(s): EP/R014604/1