Subspace dual super wavelet and Gabor frames  

作　　者：TIAN Yu LI YunZhang 

机构地区：[1]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

出　　处：《Science China Mathematics》2017年第12期2429-2446,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11271037)

摘　　要：Due to its potential applications in multiplexing techniques, the study of superframes has interested some researchers. This paper addresses dual super wavelet and Gabor frames in the subspace setting. We obtain a basic-equation characterization for subspace dual super wavelet and Gabor frames. In addition, applying this characterization, we derive a procedure that allows for constructing subspace dual super wavelet frames based on certain subspace dual super Gabor frames, and vice versa. Our results are new even in L^2(R, CL) setting.Due to its potential applications in multiplexing techniques, the study of superframes has interested some researchers. This paper addresses dual super wavelet and Gabor frames in the subspace setting. We obtain a basic-equation characterization for subspace dual super wavelet and Gabor frames. In addition, applying this characterization, we derive a procedure that allows for constructing subspace dual super wavelet frames based on certain subspace dual super Gabor frames, and vice versa. Our results are new even in L^2（R, CL） setting.

关 键 词：FRAME superframe dual super wavelet frame dual super Gabor frame 

分 类 号：O174.2[理学—数学]