Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces

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dc.creatorKarlovich, Alexei Yu.
dc.date2007-05-02
dc.date.accessioned2026-07-07T07:59:08Z
dc.date.available2026-07-07T07:59:08Z
dc.descriptionWe prove a higher order asymptotic formula for traces of finite block Toeplitz matrices with symbols belonging to Hölder-Zygmund spaces. The remainder in this formula goes to zero very rapidly for very smooth symbols. This formula refine previous asymptotic trace formulas by Szegö and Widom and complement higher order asymptotic formulas for determinants of finite block Toeplitz matrices due to Böttcher and Silbermann.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0705.0296
dc.identifierhttp://arxiv.org/abs/0705.0296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128259
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subjectPrimary 47B35; Secondary 15A15, 47B10, 47L20, 47A68
dc.titleHigher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces
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