文献类型：期刊文献

英文题名：Unified conditions for wavelet frames

作者：Li, Dengfeng[1];Wu, Guochang[2];Yang, Xiaohui[1]

第一作者：Li, Dengfeng

通讯作者：Li, DF[1]

机构：[1]Henan Univ, Inst Appl Math, Coll Math & Informat Sci, Kaifeng 475001, Peoples R China;[2]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China

第一机构：Henan Univ, Inst Appl Math, Coll Math & Informat Sci, Kaifeng 475001, Peoples R China

通讯机构：[1]corresponding author), Henan Univ, Inst Appl Math, Coll Math & Informat Sci, Kaifeng 475001, Peoples R China.

年份：2011

卷号：18

期号：4

起止页码：761-776

外文期刊名：GEORGIAN MATHEMATICAL JOURNAL

收录：;Scopus(收录号：2-s2.0-84863367677);WOS:【SCI-EXPANDED(收录号:WOS:000299766300009)】；

基金：The work is Supported by the National Natural Science Foundations of China (No. 61071189, No. 60802061 and No. 60774041), Innovation Scientists and Technicians Troop Construction Projects of Henan Province of China (No. 084100510012) and the Natural Science Foundation for the Education Department of Henan Province of China (No. 2010A110002).

语种：英文

外文关键词：Wavelet frames; Gabor frames; shift-invariant space

摘要：The main purpose of this paper is to establish a necessary condition and two sufficient conditions ensuring that the shift-invariant system is a frame for L-2(R-n). As some applications, the results are used to obtain some known conclusions about wavelet frames and Gabor frames.