On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel Operators with Semi-almost Periodic Symbols
Conditions for the Fredholm property of Wiener-Hopf plus/minus Hankel operators with semi-almost periodic Fourier matrix symbols are exhibited. Under such conditions, a formula for the sum of the Fredholm indices of these Wiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators is derived. Concrete examples are worked out in view of the computation of the Fredholm indices.
KeywordsFredholm index formula Wiener-Hopf plus/minus Hankel operator semi-almost periodic function Fredholm property
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