部分Gabor框架和双框架

Int. J. Wavelets Multiresolution Inf. Process. Pub Date : 2021-07-05 DOI:10.1142/S0219691321500351

Yu Tian, Hui-Fang Jia, Guo-Liang He

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引用次数: 1

摘要

Gabor框架理论已经得到了广泛的研究。本文讨论部分Gabor系统。介绍了部分Gabor系统、框架和双框架的概念。我们给出了部分Gabor系统是部分Gabor框架的一些条件，并利用这些条件刻画了部分对偶框架。我们也给出了一些例子。值得注意的是，密度定理不适用于一般的偏Gabor系统。

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Partial Gabor frames and dual frames

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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Int. J. Wavelets Multiresolution Inf. Process.

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