Loaded Differential Operators: Convergence of Spectral Expansionsстатья
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Дата последнего поиска статьи во внешних источниках: 10 ноября 2014 г.
Аннотация:We study the convergence rate of biorthogonal series expansions of functions in
systems of root functions of a broad class of loaded even-order differential operators defined on a finite interval. These expansions are compared with the expansions of the same functions in Fourier trigonometric series in an integral metric on any interior compact set of the main interval or on the entire interval. We obtain estimates for the equiconvergence rate of these expansions.