NECESSARY AND SUFFICIENT CONDITIONS FOR EXPANSIONS OF GABOR TYPE

被引：1
|
作者：
Kunchuan Wang (Tzu-Chi College of Technology
机构：
来源：
Analysis in Theory and Applications | 2006年 / 02期
关键词：
Balian-Low theorem; bi-orthogonal expansion; orthogonal expansion Gabor expansion; wavelet;
D O I：
暂无
中图分类号：
O174.5 [复分析、复变函数];
学科分类号：
070104 ;
摘要：
In this paper, we give necessary and su?cient conditions for two families of Gabor functions of a certain type to yield a reproducing identity on L2(Rn). As applications, we characterize when such fam- ilies yield orthonormal or bi-orthogonal expansions. We also obtain a generalization of the Balian-Low theorem for general reproducing identities (not necessary coming from a frame).
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页码：155 / 171
页数：17
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