Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols

L. P. Castro; A. S. Silva

doi:10.4067/S0719-06462010000200014

Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols

Authors

L. P. Castro Department of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal.
A. S. Silva Department of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal.

DOI:

https://doi.org/10.4067/S0719-06462010000200014

Keywords:

Fredholm property, Fredholm index, Wiener-Hopf operator, Hankel operator, semi-almost periodic matrix-valued function

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^âˆ— -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.

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Published

2010-06-01

How to Cite

[1]

L. P. Castro and A. S. Silva, “Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols”, CUBO, vol. 12, no. 2, pp. 217–234, Jun. 2010.