ON CONVERGENCE OF WAVELET PACKET EXPANSIONS

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ON CONVERGENCE OF WAVELET PACKET

EXPANSIONS

Morten Nielsen

【期刊名称】《分析、理论与应用（英文版）》【年(卷),期】2002(018)001

【摘要】It is well known that the-Walsh-Fourier expansion of a function from the block space ([0, 1 ) ), 1 ＜q≤∞, converges pointwise a.e. We prove that the same result is true for the expansion of a function from in certain periodixed smooth periodic non-stationary wavelet packets bases based on the Haar filters. We also consider wavelet packets based on the Shannon filters and show that the expansion of Lp-functions, 1＜p＜∞, converges in norm and pointwise almost everywhere. 【总页数】17页(34-50) 【关键词】

【作者】Morten Nielsen

【作者单位】University of South Carolina, USA 【正文语种】中文【中图分类】O1 【相关文献】

1.Convergence of Wavelet Expansions in the Orlicz Space [J], Chang Mei TAN

2.RATE OF CONVERGENCE AND EXPANSION OF R(E)NYI ENTROPIC

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