%0 Book Section %B Operator Algebra, Operator Theory and Applications. Operator Theory Advances and Applications, 181 %D 2008 %T Higher-order asymptotic formulas for Toeplitz matrices with symbols in generalized Hölder spaces %A Karlovich, Alexei Yu. %E Bastos, MA %E Gohberg, I %E Lebre, AB %E Speck, FO %C Basel %I Birkhäuser %P 207-228 %U http://link.springer.com/chapter/10.1007/978-3-7643-8684-9_10 %X

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.