Higher order asymptotic formulas for Toeplitz matrices with symbols in generalized Hölder spaces

Details Higher order asymptotic formulas for Toeplitz matrices with symbols in generalized Hölder spaces Higher order asymptotic formulas for Toeplitz matrices with symbols in generalized Hölder spaces

2007-05-03

arxiv.org/abs/0705.0432v1

Mathematics

Functional Analysis

20 pages

Scientific paper

We prove higher order asymptotic formulas for determinants and traces of
finite block Toeplitz matrices generated by matrix functions belonging to
generalized H\"older spaces with characteristic functions from the
Bari-Stechkin class. We follow the approach of B\"ottcher and Silbermann and
generalize their results for symbols in standard H\"older spaces.

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