Resumen de Asymptotics of block Toeplitz determinants generated by factorable matrix functions with equal partial indices

Alexei Yu. Karlovich

• We prove asymptotic formulas for block Toeplitz matrices with symbols admitting right and left Wiener-Hopf factorizations 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 Hölder continuous symbols due to Böttcher and Silbermann