Functional Analysis and Applications Seminar 

13/01/2006, 15:00 — 16:00 — Room P3.10, Mathematics Building
Alexei Karlovich, Universidade do Minho, Braga

Asymptotics of block Toeplitz deteminants generated by factorable matrix functions with equal partial indices

We prove asymptotic formulas for block Toeplitz matrices with symbols admitting right and left Wiener-Hopf factorization such that all partial indices are equal to some integer number. We consider symbols and Wiener-Hopf factorizations in Wiener algebras with weights satisfying natural submultiplicativity, monotonicity, and regularity conditions. Our results complement known formulas for Hoelder continuous symbols due to Boettcher and Silbermann.