MULTIRESOLUTION ANALYSIS, SELF-SIMILAR TILINGS AND HAAR WAVELETS ON THE HEISENBERG GROUP

被引：5

作者：

Liu Heping ^{[2
]}

Liu Yu ^{[1
]}

Wang Haihui ^{[3
]}

机构：

[1] Univ Sci & Technol Beijing, Dept Math & Mech, Sch Appl Sci, Beijing 100083, Peoples R China

[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

[3] Beihang Univ, Dept Appl Math, Beijing 100083, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2009年 / 29卷 / 05期

关键词：

Heisenberg group; multiresolution analysis; wavelets; self-similar tilings; REFINABLE FUNCTIONS;

D O I：

10.1016/S0252-9602(09)60102-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L-2(H-d) by using self-similar tilings for the acceptable dilations on the Heisenberg group.

引用

页码：1251 / 1266

页数：16

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