The characterization of a class of multivariate MRA and semi-orthogonal parseval frame wavelets

被引：5
|
作者：
Li, Yun-Zhang [1 ]
Zhou, Feng-Ying [1 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 22期
基金：
北京市自然科学基金; 中国国家自然科学基金;
关键词：
Parseval frame wavelet; Semi-orthogonal Parseval frame wavelet; MRA Parseval frame wavelet; Semi-orthogonal MRA Parseval frame wavelet; MULTIRESOLUTION ANALYSIS; REDUCING SUBSPACES; BI-FRAMES; CONSTRUCTION; TIGHT; EXISTENCE; BASES;
D O I：
10.1016/j.amc.2011.03.150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A be a d x d expansive matrix with vertical bar detA vertical bar = 2. This paper addresses Parseval frame wavelets (PFWs) in the setting of reducing subspaces of L-2 (R-d). We prove that all semi-orthogonal PFWs (semi-orthogonal MRA PFWs) are precisely the ones with their dimension functions being non-negative integer-valued (0 or 1). We also characterize all MRA PFWs. Some examples are provided. (C) 2011 Elsevier Inc. All rights reserved.
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页码：9151 / 9164
页数：14
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