International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 18, Pages 38152, 12 p.
doi:10.1155/IJMMS/2006/38152

Invertibility of matrix Wiener-Hopf plus Hankel operators with APW Fourier symbols

Abstract

A characterization of the invertibility of a class of matrix Wiener-Hopf plus Hankel operators is obtained based on a factorization of the Fourier symbols which belong to the Wiener subclass of the almost periodic matrix functions. Additionally, a representation of the inverse, lateral inverses, and generalized inverses is presented for each corresponding possible case.