On the higher-dimensional wavelet frames

doi:10.1016/j.acha.2003.10.002

CSpace

	On the higher-dimensional wavelet frames
	Mu, LH ; Zhang, ZH ; Zhang, PX
	2004
发表期刊	APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
ISSN	1063-5203
卷号	16 期号:1 页码:44-59
摘要	Every higher-dimensional wavelet frame is generated by dyadic dilations and integer translates of several mother functions. In this paper, associated with a frame multiresolution analysis {V-m, phi} of L-2 (R-d), many higherdimensional wavelet frames are constructed with help of a splitting trick of the subspace V-1 and a very fine partition of Rd. The least number of the mother functions is shown precisely in terms of the index of the FMRA. Finally, in order to explain our theory, an example is presented. (C) 2003 Elsevier Inc. All rights reserved.
DOI	10.1016/j.acha.2003.10.002
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000187565200003
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19727
专题	中国科学院数学与系统科学研究院
通讯作者	Mu, LH
作者单位	1.Shandong Univ, Dept Math, Jinan 250100, Peoples R China 2.Chinese Acad Sci, Math Inst, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Mu, LH,Zhang, ZH,Zhang, PX. On the higher-dimensional wavelet frames[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS,2004,16(1):44-59.
APA	Mu, LH,Zhang, ZH,&Zhang, PX.(2004).On the higher-dimensional wavelet frames.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS,16(1),44-59.
MLA	Mu, LH,et al."On the higher-dimensional wavelet frames".APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 16.1(2004):44-59.