The Wiener-Hopf technique, its generalizations and applications: constructive and approximate methods.
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Kisil, Anastasia V https://orcid.org/0000-0001-7652-5880
Abrahams, I David
Mishuris, Gennady https://orcid.org/0000-0003-2565-1961
Rogosin, Sergei V https://orcid.org/0000-0002-7356-1656
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.
Description
Keywords
Applications, Factorization, Riemann Boundary Value Problem, Riemann–hilbert, Wiener–hopf, Partial Indices
Journal Title
Proc Math Phys Eng Sci
Conference Name
Journal ISSN
1364-5021
1471-2954
1471-2954
Volume Title
Publisher
The Royal Society
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/R014604/1)