The Wiener--Hopf Technique, its Generalisations and Applications: Constructive and Approximate Methods
Classical Analysis and ODEs
2021-07-14 v1 Analysis of PDEs
Complex Variables
Functional Analysis
Abstract
This paper reviews the modern state of the Wiener--Hopf factorization method and its generalizations. The main constructive results for matrix Wiener--Hopf are presented, approximation methods are outlined and the main areas of applications are mentioned. The aim of the paper is to sketched some perspective of the development of this method, importance of bringing together pure and applied analysis to most effectively use of the Wiener--Hopf technique.
Cite
@article{arxiv.2107.06088,
title = {The Wiener--Hopf Technique, its Generalisations and Applications: Constructive and Approximate Methods},
author = {Anastasia Kisil and David Abrahams and Gennady Mishuris and Sergei Rogosin},
journal= {arXiv preprint arXiv:2107.06088},
year = {2021}
}