Higher order asymptotics of Toeplitz determinants with symbols in weighted Wiener algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:320

Article

Karlovich, Alexei Yu.

关键词: Toeplitz determinant;    weighted Wiener algebra;    canonical Wiener-Hopf factorization;    strong Szego-Widom limit theorem;    Schatten-von Neumann class;    p-regularized operator determinant;   

DOI  :  10.1016/j.jmaa.2005.08.003

来源: Elsevier

【 摘 要 】

We extend a result of Bottcher and Silbermann on higher order asymptotics of determinants of block Toeplitz matrices with symbols in Wiener algebras with power weights to the case of Wiener algebras with general weights satisfying natural submultiplicativity, monotonicity, and regularity conditions. (C) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free