Frame multiresolution analysis on Qp

Publications

Frame multiresolution analysis on Qp

Year : 2023

Publisher : Birkhauser

Source Title : Journal of Pseudo-Differential Operators and Applications

Document Type :

Abstract

Multiresolution analysis is a mathematical tool used to decompose functions in different resolution subspaces, where the scaling function plays a key role to construct the nested subspaces in L2(R) . This paper presents a generalization of the same in L2(Qp) , called frame multiresolution analysis (FMRA). So FMRA is a generalization of multiresolution analysis with frame condition. We study various properties of FMRA including characterizations in L2(Qp) . Furthermore, frame scaling sets are studied with examples.