On the stability of wavelet and Gabor frames (Riesz bases)
文献类型：期刊论文
| 作者 | Jing, Z |
| 刊名 | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 1999 |
| 卷号 | 5期号:1页码:105-125 |
| 关键词 | frame Gabor system Riesz basis stability wavelet |
| ISSN号 | 1069-5869 |
| 英文摘要 | 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]. |
| 语种 | 英语 |
| WOS记录号 | WOS:000079464600008 |
| 出版者 | BIRKHAUSER BOSTON INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14117]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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