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
收藏
页码：1251 / 1266
页数：16
相关论文
共 50 条
12345