Matrix functions with arbitrarily prescribed left and right partial indices

Asymptotics of block Toeplitz determinan

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

✍ Alexei Yu. Karlovich 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract 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