13/01/2006, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
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.
