Frame scaling function sets and frame wavelet sets in Rd

被引：3
|
作者：
Liu, Zhanwei [1 ]
Hu, Guoen [1 ]
Wu, Guochang [2 ]
机构：
[1] Univ Informat Engn, Dept Appl Math, Zhengzhou 450002, Henan, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Shanxi, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 05期
关键词：
HILBERT; BASES;
D O I：
10.1016/j.chaos.2007.10.042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we classify frame wavelet sets and frame scaling function sets in higher dimensions. Firstly, we obtain a necessary condition for it set to be the frame wavelet sets. Then, we present a necessary and sufficient condition for it set to be a frame scaling function set. We give a property of frame scaling function sets, too. Some corresponding examples are given to prove our theory in each section. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：2483 / 2490
页数：8
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