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
Department of Mathematics, University of Aveiro, Aveiro 3810-145, Portugal
Received 30 May 2006; Revised 9 August 2006; Accepted 25 September 2006
Copyright © 2006 G. Bogveradze and L. P. Castro. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.