- November 3, 2006, Friday - 15h00 (Room P 3.10):
Polynomial almost periodic solutions for a class of
Riemann-Hilbert problems
Sofia Naique
(Instituto Superior Técnico, U.T. Lisboa)
Abstract. We consider a class of Riemann-Hilbert
problems with triangular symbols. Our investigation is devoted to the
existence and calculation of a solution, in the form of an almost
periodic polynomial. The Fourier spectrum of a solution of this kind is
a subset of a particular additive group. A necessary and sufficient
condition for the existence of a solution is obtained. Indeed, it is a
simple condition on the Fourier spectrum of the matrix symbol. Explicit
solutions are also determined, for different classes of Riemann-Hilbert
problems, which are determined once again by the matrix symbol.
Seminars take place in Lisbon, I.S.T. -
Post Graduation Building
Webpage: http://www.math.ist.utl.pt/funcional
