Functional Analysis and Applications Seminar 

10/11/2006, 15:00 — 16:00 — Room P3.10, Mathematics Building
Frank-Olme Speck, Instituto Superior Técnico, U.T. Lisboa

On the analytical solution of the linear-fractional Riemann problem

The linear-fractional problem is a generalization of the linear Riemann problem that includes the (non-linear) factorization problem. In case of normal type it can be equivalently reduced to a family of homogeneous linear vector Riemann problems by space foliation and adequate substitutions. Moreover these problems are equivalent to systems of non-homogeneous Toeplitz equations with special data. The reduced problem can be solved by matrix factorization in various cases. This research is based upon joint work with S. V. Rogosin.