Functional Analysis and Applications Seminar 

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.