Generalized Multiresolution Structures in Reducing Subspaces of Local Fields

作     者：Owais AHMAD Neyaz Ahmad SHEIKH Owais AHMAD;Neyaz Ahmad SHEIKH

作者机构：Department of MathematicsNational Institute of TechnologySrinagar 190006India 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第12期

页      面：2163-2186页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Frame frame like expansion reducing subspace generalized multiresolution structure local field Fourier transform 

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