Partial Gabor frames and dual frames

被引：1
作者：
Tian, Yu [1 ]
Jia, Hui-Fang [2 ]
He, Guo-Liang [1 ]
机构：
[1] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030001, Shanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2022年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Gabor system; partial Gabor system; frame; Gabor frame; Gabor dual frame; WEYL-HEISENBERG FRAMES; SUBSPACES; TRANSFORM; WAVELET; BASES;
D O I：
10.1142/S0219691321500351
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The theory of Gabor frames has been extensively investigated. This paper addresses partial Gabor systems. We introduce the concepts of partial Gabor system, frame and dual frame. We present some conditions for a partial Gabor system to be a partial Gabor frame, and using these conditions, we characterize partial dual frames. We also give some examples. It is noteworthy that the density theorem does not hold for general partial Gabor systems.
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页数：17
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