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Departamento de Matemática Técnico Técnico

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06/06/2008, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Giorgi Bogveradze, Andrea Razmadze Mathematical Institute, Tbilisi, Georgia

Invertibility characterization of scalar Wiener-Hopf plus Hankel operators with essentially bounded Fourier symbols

The invertibility of Wiener-Hopf plus Hankel operators with essentially bounded Fourier symbols is characterized via certain factorization properties of the Fourier symbols. In addition, a Fredholm criterion for these operators is also obtained and the dimensions of the kernel and cokernel are described. The talk is based on a joint paper with L. P. Castro.