16/03/2007, 15:00 — 16:00 — Room P3.10, Mathematics Building
Alexei Karlovich, Instituto Superior Técnico, U.T. Lisboa
Asymptotics of Toeplitz matrices with symbols in generalized Hölder
spaces
We study asymptotics of block Toeplitz matrices generated by matrix
symbols with entires in a generalized Hölder space or in the
closure of smooth functions in the generalized Hölder space. We
specify the speed of convergence in the Szegö-Widom limit theorems
and refine corresponding results of Böttcher and Silbermann for
standard Hölder spaces. Wiener-Hopf factorization in decomposing
algebras plays a crucial role in our investigation.
