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

A. P. Nolasco·L. P. Castro
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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.

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BibTeXRIS

A. P. Nolasco, L. P. Castro. 2006-03-03. Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols. https://arxiv.org/abs/math/0511127

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