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

• Autores: Alexei Yu. Karlovich
• Localización: Mathematische Nachrichten, ISSN 0025-584X, Vol. 280, Nº. 9-10, 2007, págs. 1118-1127
• Idioma: inglés
• DOI: 10.1002/mana.200510540
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• Resumen

  • 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