On Characterization of Nonuniform Tight Wavelet Frames on Local Fields

作     者：Owais Ahmad Neyaz A.Sheikh 

作者机构：Department of Mathematics National Institute of Technology 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2018年第34卷第2期

页      面：135-146页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Nonuniform wavelet frame tight wavelet frame Fourier transform.local field 

摘      要：In this article, we introduce a notion of nonuniform wavelet frames on local fields of positive characteristic. Furthermore, we gave a complete characterization of tight nonuniform wavelet frames on local fields of positive characteristic via Fourier transform. Our results also hold for the Cantor dyadic group and the Vilenkin groups as they are local fields of positive characteristic.