29/06/2007, 15:15 — 16:15 — Sala P3.10, Pavilhão de Matemática
Ana Paula Nolasco, Universidade de Aveiro
A Fredholm characterization for Wiener-Hopf-Hankel operators
withsemi-almost periodic symbols
It will be presented a characterization of Fredholm and
invertibility properties for Wiener-Hopf-Hankel operators with
semi-almost periodic Fourier symbols and acting between
Lebesgue spaces, based on the mean motions and geometric mean
values of the almost periodic representatives of the Fourier
symbols at minus and plus infinity. Additionally, a formula for the
Fredholm index is derived, as well as some conditions for the
invertibility of the operators.