Generalized Multiresolution Structures in Reducing Subspaces of Local Fields

被引：0

作者：

Ahmad, Owais ^{[1
]}

Sheikh, Neyaz Ahmad ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Srinagar 190006, Jammu & Kashmir, India

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2022年 / 38卷 / 12期

关键词：

Frame; frame like expansion; reducing subspace; generalized multiresolution structure; local field; Fourier transform; FRAME WAVELETS; ORTHOGONAL WAVELETS; PSEUDOFRAMES; SYSTEMS; CONSTRUCTION;

D O I：

10.1007/s10114-022-1291-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce the notion of general multiresolution structure (GMS) in the reducing subspace over local fields. We show that the GMS is admitted by an arbitrary reducing subspace and characterize all those GMSs which admit a pyramids decomposition. Towards the culmination, we obtain a frame-like expansion for signals in reducing subspaces in terms of GMS over local fields.

引用

页码：2163 / 2186

页数：24

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