Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols

Details Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols

2005-11-05

arxiv.org/abs/math/0511127v2

Mathematics

Functional Analysis

Version 2 with 18 pages, and 3 figures

Scientific paper

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.

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