ORTHORECURSIVE EXPANSION BY THE FABER ? SCHAUDER SYSTEMJournal: The Way of Science (Vol.1, No. 28)
Publication Date: 2016-06-21
Authors : Sheina A.M.;
Page : 8-11
Keywords : orthorecursive expansion; system of contractions and shifts; Faber ? Schauder system; Fourier series.;
Orthorecursive expansions comprise a natural generalization of classical Fourier expansions of Hilbert space elements. For an orthorecursive expansion such properties of normal Fourier series as Bessel identity, Bessel inequality and convergence to the expandable element of Parseval's identity equivalent stand still. In this study orthorecursive expansion by the Faber ? Schauder system is examined, and the theorem of orthorecursive expansion convergence in space is proved.
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