✦ LIBER ✦
Asymptotics of block Toeplitz determinants generated by factorable matrix functions with equal partial indices
✍ Scribed by Alexei Yu. Karlovich
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 156 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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 submultiplicativity, monotonicity, and regularity conditions. Our results complement known formulas for Hölder continuous symbols due to Böttcher and Silbermann. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)