O. Ahmad, Abdullah A. H. Ahmadini, M. Ahmad, “Nonuniform super wavelets in <nobr>$L^2(\mathbb{K})$</nobr>”, Probl. Anal. Issues Anal., 2022, Volume 11(29), Issue 1,Pages <nobr>3

This article is cited in 1 paper

Nonuniform super wavelets in $L^2(\mathbb{K})$

O. Ahmad^a, Abdullah A. H. Ahmadini^b, M. Ahmad^b

^a Department of Mathematics, National Institute of Technology, Srinagar, 190006, Jammu and Kashmir, India
^b Department of Mathematics, Faculty of Science, Jazan University

Abstract: In this paper, we introduce the structure of nonuniform super wavelets over local fields. We shall also provide the characterization of nonuniform parseval frame, nonuniform semi-orthogonal pareseval multiwavelets, and nonuniform super wavelets over local fields.

Keywords: nonuniform super wavelet, Fourier transform, Local field, Parseval frame.

UDC: 517.44, 517.52, 517.518

MSC: 42C40, 42C15, 43A70

Received: 28.03.2021
Revised: 14.08.2021
Accepted: 23.08.2021

Language: English

DOI: 10.15393/j3.art.2022.10130