On the stability of wavelet and Gabor frames (Riesz bases)

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	On the stability of wavelet and Gabor frames (Riesz bases)
	Jing, Z
	1999
发表期刊	JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
ISSN	1069-5869
卷号	5 期号:1 页码:105-125
摘要	if the sequence of functions {phi(j,k)} is a wavelet frame (Riesz basis) or Gabor frame (Riesz basis), we obtain its perturbation system {psi(j,k)} which is still a frame (Riesz basis) under very mild conditions. For example, we do not need to know that the support of phi or psi (<(phi)over cap> or <(psi)over cap>) is compact as in [14]. We also discuss the stability of irregular sampling problems. In order to arrive at some of our results, we set up a general multivariate version of Littlewood-Paley type inequality which was originally considered by Lemarie and Meyer [17], then by Chui and Shi [9], and Long [16].
关键词	frame Gabor system Riesz basis stability wavelet
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000079464600008
出版者	BIRKHAUSER BOSTON INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14118
专题	中国科学院数学与系统科学研究院
通讯作者	Jing, Z
作者单位	Acad Sinica, Math Inst, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Jing, Z. On the stability of wavelet and Gabor frames (Riesz bases)[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,1999,5(1):105-125.
APA	Jing, Z.(1999).On the stability of wavelet and Gabor frames (Riesz bases).JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,5(1),105-125.
MLA	Jing, Z."On the stability of wavelet and Gabor frames (Riesz bases)".JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 5.1(1999):105-125.