向量值子空间弱Gabor双帧的时域表征。

IF 1.6 3区数学 Q1 Mathematics Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-22 DOI:10.1186/s13660-018-1733-8

Jing Zhao, Yun-Zhang Li

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引用次数: 0

摘要

双框架的构造是框架理论中的一个基本问题。向量值框架和子空间框架由于其广泛的应用，近年来引起了许多数学家的兴趣。本文在向量值子空间中引入了弱Gabor双帧(WGBF)，在时域上对其进行了表征，并给出了一些例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A time domain characterization of vector-valued subspace weak Gabor bi-frames.

The construction of bi-frames is a fundamental problem in frame theory. Due to their wide applications, the study of vector-valued frames and subspace frames has interested many mathematicians in recent years. In this paper, we introduce the weak Gabor bi-frame (WGBF) in vector-valued subspaces, characterize WGBFs on the time domain, and present some examples.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.