Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols
Author
Castro, L. P.
Silva, A. S.
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/141610.4067/S0719-06462010000200014
Abstract
We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C∗ -algebra of semialmost periodic elements. In addition, under such conditions, we will derive a formula for the sum of the Fredholm indices of these Wiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators. Some examples are provided to illustrate the results of the paper.