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Higher order asymptotics of Toeplitz determinants with symbols in weighted Wiener algebras |
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| Authors: | Alexei Yu Karlovich |
| Institution: | Universidade do Minho, Escola de Ciências, Centro de Matemática, Campus de Gualtar, 4710-057 Braga, Portugal |
| Abstract: | We extend a result of Böttcher 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. |
| Keywords: | Toeplitz determinant Weighted Wiener algebra Canonical Wiener– Hopf factorization Strong Szegő – Widom limit theorem Schatten– von Neumann class p-Regularized operator determinant |
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