文献类型：期刊文献

英文题名：CHARACTERIZATIONS OF THE MULTIVARIATE WAVE PACKET SYSTEMS

作者：Wu, Guochang[1];Li, Dengfeng[2]

第一作者：吴国昌

通讯作者：Li, DF[1]

机构：[1]Henan Univ Econ & Law, Dept Math, Zhengzhou 450002, Peoples R China;[2]Wuhan Text Univ, Sch Math & Comp Sci, Wuhan 430200, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Wuhan Text Univ, Sch Math & Comp Sci, Wuhan 430200, Peoples R China.

年份：2014

卷号：18

期号：5

起止页码：1389-1409

外文期刊名：TAIWANESE JOURNAL OF MATHEMATICS

收录：;Scopus(收录号：2-s2.0-84907976291);WOS:【SCI-EXPANDED(收录号:WOS:000345492900005)】；

基金：The work is supported by the National Natural Science Foundation of China (No. 61071189) and the Natural Science Foundation of Henan Province (No. 122300410381).

语种：英文

外文关键词：Gabor system; Wavelet system; The wave packet system

摘要：Some characterizations of the multivariate wave packet systems in terms of the Fourier transforms of the wave packet systems' generating functions are discussed in this paper. First, the characterizations of the orthogonal wave packet systems are provided. Secondly, a sufficient condition of the completeness of wave packet system in some special cases is established. Finally, the necessary conditions and sufficient conditions for the wave packet systems to be wave packet Parseval frames with the very general lattices are obtained. Thus, the corresponding known results in Gabor systems and wavelet systems are obtained as some corollaries.