International Journal of Mathematics and Mathematical Sciences 
Volume 2006 (2006), Article ID 38152, 12 pages
doi:10.1155/IJMMS/2006/38152

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

G. Bogveradze and L. P. Castro

 Department of Mathematics, University of Aveiro, Aveiro 3810-145, Portugal
Received 30 May 2006; Revised 9 August 2006; Accepted 25 September 2006

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.