Abstract
Based on the different kinds of auxiliary operators and corresponding operator relations, we will present conditions which characterize the invertibility of matrix Wiener–Hopf plus Hankel operators having different Fourier symbols in the class of almost periodic elements. To reach such invertibility characterization, we introduce a new kind of factorization for AP matrix functions. Additionally, under certain conditions, we will obtain the one-sided and two-sided inverses of the matrix Wiener–Hopf plus Hankel operators in study.
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