%0 Journal Article
%T Lp(［0,1］)-characterizations of multi-knot piecewise linear spectral sequences
%A LIAN Qiaofang
%A CHENG Linfeng
%A YAN Dunyan
%J 自然科学进展
%D 2006
%I 
%X There exists a class of new orthonormal basis for L2(［0,1］), whose exponential parts are multi-knot piecewise linear functions called spectral sequences. In this paper, we show that these bases constitute bases, but not unconditional bases, for Lp(［0,1］) with 1＜p＜∞, p≠2. In addition, we give the corresponding convergence theorem in Lp, Carleson-Hunt theorem on almost everywhere convergence, Littlewood-Paley theorem and Poisson summation formula related to these bases.
%K exponential
%K bases
%K multi-knot
%K piecewise
%K linear
%K spectral
%K sequences
%K unconditional
%K bases.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=504AF8C1E5476CA7C4EC9DF6FEAC14AC&aid=E1126811BC6282E9126781C623857608&yid=37904DC365DD7266&vid=7801E6FC5AE9020C&iid=DF92D298D3FF1E6E&sid=47122BA7BE181C5A&eid=DC2727B6AC017B3F&journal_id=1002-008X&journal_name=自然科学进展&referenced_num=0&reference_num=0