Unitary Extension Principle for Nonuniform Wavelet Frames in $L^2(\mathbb{R})$
Functional Analysis
2022-07-14 v4
Abstract
We study the construction of nonuniform tight wavelet frames for the Lebesgue space , where the related translation set is not necessary a group. The main purpose of this paper is to prove the unitary extension principle (UEP) and the oblique extension principle (OEP) for construction of multi-generated nonuniform tight wavelet frames for . Some examples are also given to illustrate the results.
Cite
@article{arxiv.1806.00623,
title = {Unitary Extension Principle for Nonuniform Wavelet Frames in $L^2(\mathbb{R})$},
author = {Hari Krishan Malhotra and Lalit Kumar Vashisht},
journal= {arXiv preprint arXiv:1806.00623},
year = {2022}
}