Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols
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L. P. Castro
castro@ua.pt
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A. S. Silva
anabela.silva@ua.pt
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DOI:
https://doi.org/10.4067/S0719-06462010000200014Abstract
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.
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