12/01/2007, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
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.
