Linear independence of compactly supported separable shearlet systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:428

Article

Ma, Jackie¹  Petersen, Philipp¹ 

[1] Tech Univ Berlin, Dept Math, D-10623 Berlin, Germany

关键词: Frames;    Shearlets;    Linear independence;   

DOI  :  10.1016/j.jmaa.2015.03.001

来源: Elsevier

【 摘 要 】

This paper examines linear independence of shearlet systems. This property has already been studied for wavelets and other systems such as, for instance, for Gabor systems. In fact, for Gabor systems this problem is commonly known as the HRT conjecture. In this paper we present a proof of linear independence of compactly supported separable shearlet systems. For this, we employ a sampling strategy to utilize the structure of an implicitly given underlying oversampled wavelet system as well as the shape of the supports of the shearlet elements. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free