arXiv subjects

Hicham Banouh

Publications and source records attributed to Hicham Banouh.

3 recordsLinked to original sources

arXiv2024

Logarithmic uncertainty principle for Clifford-wavelet transform

The uncertainty principle constitutes one of the famous physical concepts which continues to attract researchers from different related fields since its discovery due to its utility in many applications. Among the classical (Fourier-based) forms, modified variants such as wavelet-based and logarithmic versions have been investigated by researchers. In the present work we are concerned with the development of a new logarithmic uncertainty principle combining both wavelets and logarithmic variants in the Clifford wavelet transform framework.

math-ph↗

arXiv2020

A sharp Clifford-wavelet Heisenberg-type uncertainty principle

In the present work we are concerned with the development of a new uncertainty principle based on wavelet transform in the Clifford analysis/algebras framework. We precisely derive a sharp Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform.

math-ph↗

arXiv2019

Clifford-wavelet Transform and the uncertainty principle

In this paper we derive a Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform. A brief review of Clifford algebra/analysis, wavelet transform on $\mathbb{R}$ and Clifford-Fourier transform and their proprieties has been conducted. Next, such concepts have been applied to develop an uncertainty principle based on Clifford wavelets.

math-ph↗