12/03/2004, 15:00 — 16:00 — Room P3.10, Mathematics Building
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.