Functional Analysis and Applications Seminar 

12/01/2007, 15:00 — 16:00 — Room P3.10, Mathematics Building
Alexei Karlovich, Instituto Superior Técnico, U.T. Lisboa

Generalized Krein algebras and asymptotics of Toeplitz determinants

We give a survey on generalized Krein algebras and Wiener-Hopf factorization in these algebras. We discuss the role of generalized Krein algebras in the asymptotic theory of Toeplitz determinants. We pay special attention to some cases of "insuffucient smoothness", when the Szegö-Widom limit theorem requires a higher order correction involving additional terms and regularized operator determinants. This talk is based on a joint work with Albrecht Böttcher and Bernd Silbermann.