文献类型：期刊文献

英文题名：Necessary and Sufficient Conditions of the Wave Packet Frames in L-2(R-n)

作者：Wu, Guochang[1,2];Li, Dengfeng[3];Cao, Huaixin[1]

第一作者：吴国昌;Wu, Guochang

通讯作者：Wu, GC[1]

机构：[1]Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China;[2]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China;[3]Henan Univ, Sch Math & Informat Sci, Kaifeng 475001, Peoples R China

第一机构：Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China

通讯机构：[1]corresponding author), Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China.

年份：2014

卷号：37

期号：4

起止页码：1123-1136

外文期刊名：BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000343190600018)】；

语种：英文

外文关键词：The wave packet frame; sufficient condition; necessary condition

摘要：The main goal of this paper is to consider the necessary and sufficient conditions of wave packet systems to be frames in higher dimensions. We establish the necessary and sufficient conditions for all kinds of wave packet frames of the different operator order in L-2(R-n) with an arbitrary expanding matrix dilations, which include the corresponding results of wavelet analysis and Gabor theory as the special cases. Our way combines with some techniques in wavelet analysis and time-frequency analysis.