Title: L_p Convergence of Generalized Fourier Series Deduced by Piecewise Linear Spectral Sequences
Abstract: In the present paper,we discuss some properties of piecewise linear spec- tral sequences introduced by Liu and Xu.We have a study on the pointwiso and almost everywhere convergence of its corresponding series.Also,it is shown that the set g constructed from piecewise linear spectral sequences are bases,but not uncon- ditional bases,for L~P(0,1)where 1p∞,p≠2.
Publication Year: 2007
Publication Date: 2007-01-01
Language: en
Type: article
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