CMUC: Analysis Seminar

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CENTRE FOR MATHEMATICS OF THE UNIVERSITY OF COIMBRA

Analysis Seminar

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Riemann Hilbert problems on a Riemann surface and on the complex plane

Maria Teresa Malheiro (Univ. Minho)

Abstract:
We study the solvability of scalar Riemann-Hilbert problems relative to a contour on a torus which are equivalent to some matrix Riemann-Hilbert problems in the complex plane. With this purpose a new concept of mero- morphic factorization in the torus is introduced and discussed. The results are applied to solve matrix Riemann-Hilbert problems and study some properties of a class of Toeplitz operators with 2 x 2 matrix symbols.

Date: Friday, 25th of May at 14:30
Place: Room 5.5, Mathematics Department, U.C.
https://cmuc.mat.uc.pt/rdonweb/

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