Higher order asymptotic formulas for Toeplitz matrices with symbols in generalized Hölder spaces
arXiv:0705.0432
Abstract
We prove higher order asymptotic formulas for determinants and traces of finite block Toeplitz matrices generated by matrix functions belonging to generalized Hölder spaces with characteristic functions from the Bari-Stechkin class. We follow the approach of Böttcher and Silbermann and generalize their results for symbols in standard Hölder spaces.
20 pages