A note on the standard dual frame of a wavelet frame with three-scale

被引：4
|
作者：
Chen, Qingjiang [1 ]
Wei, Zongtian [1 ]
Feng, Jinshun [2 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
[2] Nanyang Inst Technol, Sch Educ, Nanyang 473000, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 02期
关键词：
INFINITY CANTORIAN SPACETIME; TIME; COSMOLOGY; PHYSICS;
D O I：
10.1016/j.chaos.2009.02.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is shown that there exist wavelet frames generated by two functions which have good dual wavelet frames, but for which the standard dual wavelet frame does not consist of wavelets. That is to say, the standard dual wavelet frame cannot be generated by the translations and dilations of a single function. Relation to some physical theories Such as entropy and E-infinity theory is also discussed. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：931 / 937
页数：7
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