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

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 ove...

Descripción completa

Detalles Bibliográficos
Autores principales: Kisil, Anastasia V., Abrahams, I. David, Mishuris, Gennady, Rogosin, Sergei V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2021
Materias:
Special Feature
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8526176/
https://www.ncbi.nlm.nih.gov/pubmed/35153588
http://dx.doi.org/10.1098/rspa.2021.0533
_version_ 1784585825300774912
author Kisil, Anastasia V.
Abrahams, I. David
Mishuris, Gennady
Rogosin, Sergei V.
author_facet Kisil, Anastasia V.
Abrahams, I. David
Mishuris, Gennady
Rogosin, Sergei V.
author_sort Kisil, Anastasia V.
collection PubMed
description 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.
format Online
Article
Text
id pubmed-8526176
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher The Royal Society
record_format MEDLINE/PubMed
spelling pubmed-85261762022-02-11 The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods Kisil, Anastasia V. Abrahams, I. David Mishuris, Gennady Rogosin, Sergei V. Proc Math Phys Eng Sci Special Feature 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. The Royal Society 2021-10 2021-10-20 /pmc/articles/PMC8526176/ /pubmed/35153588 http://dx.doi.org/10.1098/rspa.2021.0533 Text en © 2021 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited.
spellingShingle Special Feature
Kisil, Anastasia V.
Abrahams, I. David
Mishuris, Gennady
Rogosin, Sergei V.
The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
title The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
title_full The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
title_fullStr The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
title_full_unstemmed The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
title_short The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
title_sort wiener–hopf technique, its generalizations and applications: constructive and approximate methods
topic Special Feature
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8526176/
https://www.ncbi.nlm.nih.gov/pubmed/35153588
http://dx.doi.org/10.1098/rspa.2021.0533
work_keys_str_mv AT kisilanastasiav thewienerhopftechniqueitsgeneralizationsandapplicationsconstructiveandapproximatemethods
AT abrahamsidavid thewienerhopftechniqueitsgeneralizationsandapplicationsconstructiveandapproximatemethods
AT mishurisgennady thewienerhopftechniqueitsgeneralizationsandapplicationsconstructiveandapproximatemethods
AT rogosinsergeiv thewienerhopftechniqueitsgeneralizationsandapplicationsconstructiveandapproximatemethods
AT kisilanastasiav wienerhopftechniqueitsgeneralizationsandapplicationsconstructiveandapproximatemethods
AT abrahamsidavid wienerhopftechniqueitsgeneralizationsandapplicationsconstructiveandapproximatemethods
AT mishurisgennady wienerhopftechniqueitsgeneralizationsandapplicationsconstructiveandapproximatemethods
AT rogosinsergeiv wienerhopftechniqueitsgeneralizationsandapplicationsconstructiveandapproximatemethods

Ejemplares similares