Continous linear canonical Dunkl wavelet transform: properties and applications
Classical Analysis and ODEs
2025-03-04 v1 Mathematical Physics
math.MP
Abstract
The aim of this paper is to establish and study the linear canonical Dunkl wavelet transform. We begin by introducing the generalized translation operator and generalized convolution product for the linear canonical Dunkl transform and we establish their basic properties. Next, we introduce the new proposed wavelet transform and we investigate its fundamentals properties. In the end, we derive some uncertainty inequalities for the desired wavelet transform as applications.
Cite
@article{arxiv.2503.00173,
title = {Continous linear canonical Dunkl wavelet transform: properties and applications},
author = {Ahmed Saoudi and Imen Kallel},
journal= {arXiv preprint arXiv:2503.00173},
year = {2025}
}