Higher order asymptotic formulas for Toeplitz matrices with symbols in generalized H\"older spaces
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olderspacesasymptoticformulasfunctionsgeneralizedhighermatrices
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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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