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

Published version
Peer-reviewed

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Authors

Abrahams, I David 

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

Special feature, Review articles, Wiener–Hopf, Riemann–Hilbert, factorization, partial indices, Riemann boundary value problem, applications

Journal Title

Proc Math Phys Eng Sci

Conference Name

Journal ISSN

1364-5021
1471-2954

Volume Title

477

Publisher

The Royal Society
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)