Subspace dual super wavelet and Gabor frames

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（12）
• 页码范围: 2429-2446
• 页数: 18页
• 语种: 英文
• DOI: 10.1007/s11425-016-9091-4

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 L2(R,CL) setting.