**Cristina Diogo**

ISCTE -- Instituto Superior de Ciências do Trabalho e
da Empresa

Departamento de Métodos Quantitativos

Lisboa

Departamento de Métodos Quantitativos

Lisboa

In this talk the Riemann-Hilbert
problem with matrix coefficient
is considered, assuming the
existence of a non trivial solution
with
belonging to the Hardy spaces
and such that or
vanishes in some point of the corresponding half-plane
or , respectively. The results are
used to study the Fredholm properties of Toeplitz operators with
such a matrix symbol in the Hardy spaces
.

2005-05-23