Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols
Functional Analysis
2007-05-23 v2
Abstract
A factorization theory is proposed for Wiener-Hopf plus Hankel operators with almost periodic Fourier symbols. We introduce a factorization concept for the almost periodic Fourier symbols such that the properties of the factors will allow corresponding operator factorizations. Conditions for left, right, or both-sided invertibility of the Wiener-Hopf plus Hankel operators are therefore obtained upon certain indices of the factorizations. Under such conditions, the one-sided and two-sided inverses of the operators in study are also obtained.
Keywords
Cite
@article{arxiv.math/0511127,
title = {Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols},
author = {A. P. Nolasco and L. P. Castro},
journal= {arXiv preprint arXiv:math/0511127},
year = {2007}
}
Comments
Version 2 with 18 pages, and 3 figures