Asymptotics of Determinants and Traces of Toeplitz Matrices with Symbols in Weighted Wiener Algebras | Zendy

Alexei Yu. Karlovich | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Asymptotics of Determinants and Traces of Toeplitz Matrices with Symbols in Weighted Wiener Algebras

Author(s) -

Alexei Yu. Karlovich

Publication year - 2007

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1309

Subject(s) - toeplitz matrix , mathematics , monotonic function , zero (linguistics) , pure mathematics , block (permutation group theory) , algebra over a field , combinatorics , mathematical analysis , linguistics , philosophy

We prove asymptotic formulas for determinants and traces of finite block Toeplitz matrices with symbols belonging to Wiener algebras with weights satisfying natural submultiplicativity, monotonicity, and regularity conditions. The remainders in these formulas depend on the weights and go rapidly to zero for very smooth symbols. These formulas refine or extend some previous results by Szegő, Widom, Bottcher, and Silbermann.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research