Unconditional basis recursively generated in Lp on compact sets

We construct an unconditional basis in the Banach space Lp(Ω, ρ) for p ＞ 1 by using the refinement equation and the basic operation of translation and scale, where Ω is a compact subset in Rn. We also give an algorithm of how to construct an unconditional basis in Lp(Ω, ρ). At the end of this paper, we give the characterization of the functions in Lp(Ω, ρ) by using the wavelet coefficients.

作 者： LI Bingzheng LI Jun   作者單位： Department of Mathematics,Zhejiang University,Hangzhou 310028,China  刊 名： 中國科學(xué)A輯（英文版）  SCI 英文刊名： SCIENCE IN CHINA SERIES A (MATHEMATICS)  年，卷(期)： 2005 48(12)  分類號(hào)： O1  關(guān)鍵詞： unconditional basis   wavelets   multiresolution analysis   simple martingale  

【Unconditional basis recursively gene】相關(guān)文章：

Genetic Analysis and Mapping of TWH Gene in Rice Twisted Hull Mutant04-26

Selections of data preprocessing methods and similarity metrics for gene cluster analysis04-26

Conditional and unconditional mapping of quantitative trait loci underlying plant height and tiller number in rice (Oryz04-26

Induction of defence gene expression by oligogalacturonic acid requires increases in both cytosolic calcium and hydrogen04-26

Induction of defence gene expression by oligogalacturonic acid requires increases in both cytosolic calcium and hydrogen04-26

Avoidance of Linkage Drag Between Blast Resistance Gene and the QTL Conditioning Spikelet Fertility Based on Genotype Se04-26

Down-Regulated Expression of RACK1 Gene by RNA Interference Enhances Drought Tolerance in Rice04-26

MicroRNA-mediated NBS1 Gene Silence and Its Effects on Telomerase Activation in Hela Cells04-27