On wavelets related to the Walsh series

被引：33

作者：

Farkov, Yu. A. ^{[1
]}

机构：

[1] Russian State Geol Prospecting Univ, Higher Math & Math Modelling Dept, Moscow 117997, Russia

来源：

JOURNAL OF APPROXIMATION THEORY | 2009年 / 161卷 / 01期

关键词：

Walsh-Fourier transform; Lacunary Walsh series; Orthogonal p-wavelets; Multifractals; Stability; Adapted wavelet analysis; ORTHOGONAL WAVELETS;

D O I：

10.1016/j.jat.2008.10.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For my integers p, n >= 2 necessary and sufficient conditions are given for scaling filters with p(n) many terms to generate a p-multiresolution analysis in L-2(R+). A method for constructing orthogonal compactly supported p-wavelets on R+ is described. Also, an adaptive p-wavelet approximation in L-2 (R+) is considered. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：259 / 279

页数：21

共 24 条

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