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On the stability of wavelet and Gabor frames (Riesz bases)
Jing, Z
1999
Source PublicationJOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
ISSN1069-5869
Volume5Issue:1Pages:105-125
Abstractif 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].
Keywordframe Gabor system Riesz basis stability wavelet
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000079464600008
PublisherBIRKHAUSER BOSTON INC
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14118
Collection中国科学院数学与系统科学研究院
AffiliationAcad Sinica, Math Inst, Beijing, Peoples R China
Recommended Citation
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.
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