Seminário Análise Funcional e Aplicações 

12/03/2004, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Maria do Carmo Martins, Instituto Superior Técnico, U.T. Lisboa

Factorization of Triangular Symbols - The Trinomial Case

We study the solutions of Riemann-Hilbert problems with certain triangular matrix symbols in appropriate spaces of analytic functions. Assuming that a solution to this Riemann-Hilbert problem is known, we show that, in certain cases, it is possible to determine a second solution to the same problem and to check whether these two solutions yield the factors of a canonical factorization of the symbol using only very simple ideas.