Seminário Análise Funcional e Aplicações 

14/10/2005, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Frank-Olme Speck, Instituto Superior Técnico, U.T. Lisboa

Constructive matrix factorization methods for convolution type operators with symmetry

Since Torsten Ehrhardt succeeded in creating a factorization theory for Toeplitz plus Hankel operators in 2003, the doors are open for the successful investigation of various classes of singular operators and related applications. This talk is devoted to constructive methods based upon explicit asymmetric factorization of matrix functions on the real line, which is quite different from the usual Wiener-Hopf factorization. A catalogue of possible consequences and new applications will be exposed and discussed.