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On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel Operators with Semi-almost Periodic Symbols

  • Giorgi Bogveradze
  • Luís P. Castro
Part of the Operator Theory: Advances and Applications book series (OT, volume 181)

Abstract

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.

Keywords

Fredholm index formula Wiener-Hopf plus/minus Hankel operator semi-almost periodic function Fredholm property 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  • Giorgi Bogveradze
    • 1
  • Luís P. Castro
    • 1
  1. 1.Research Unit “Matemática e Aplicações” Department of MathematicsUniversity of AveiroAveiroPortugal

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