A generalization of frame perturbation in Hilbert subspaces and its application to wavelet subspaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A generalization of frame perturbation in Hilbert subspaces and its application to wavelet subspaces

Authors:	Ping?Zhao author-information" > author-information__contact u-icon-before" > mailto:zhaoping@mailst.xjtu.edu.cn" title=" zhaoping@mailst.xjtu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Guizhong?Liu,Chun?Zhao

Affiliation:	1. Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi'an 710049, China 2. School of Sciences, Xi'an Jiaotong University, Xi'an 710049, China

Abstract:	A perturbation theorem for frames in a Hilbert space is obtained, which is a generalization of a result by Christensen. Based on this general result, an irregular sampling theorem for frames in wavelet subspaces is established, which has a previous result as a special case.

Keywords:	frame perturbation sampling wavelets.
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