[图书][B] Wavelet analysis: basic concepts and applications

S Arfaoui, AB Mabrouk, C Cattani - 2021 - taylorfrancis.com
Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …

New type of Gegenbauer–Hermite monogenic polynomials and associated Clifford wavelets

S Arfaoui, A Ben Mabrouk, C Cattani - Journal of Mathematical Imaging …, 2020 - Springer
Nowadays, 3D images processing constitutes a challenging topic in many scientific fields
such as medicine, computational physics, informatics. Therefore, the construction of suitable …

New Type of Gegenbauer-Jacobi-Hermite Monogenic Polynomials and Associated Continuous Clifford Wavelet Transform: Some Monogenic Clifford Polynomials and …

S Arfaoui, A Ben Mabrouk, C Cattani - Acta Applicandae Mathematicae, 2020 - Springer
Recently 3D image processing has interested researchers in both theoretical and applied
fields and thus has constituted a challenging subject. Theoretically, this needs suitable …

A sharp Clifford wavelet Heisenberg-type uncertainty principle

H Banouh, A Ben Mabrouk - Journal of Mathematical Physics, 2020 - pubs.aip.org
In the present work, we are concerned with the development of a new uncertainty principle
based on the wavelet transform in the Clifford analysis/algebra framework. We precisely …

Clifford wavelet transform and the associated Donoho-Stark's uncertainty Principle

S Arfaoui - arXiv preprint arXiv:2209.12037, 2022 - arxiv.org
This paper focuses on studying the Donoho-Stark's type uncertainty principle for the
continuous Clifford wavelet transform. A brief review of Clifford algebra/analysis, Clifford …

[PDF][PDF] Analyse harmonique par ondelettes dans l'algèbre de Clifford

H Banouh - 2021 - dspace.usthb.dz
The project falls within the general framework of harmonic analysis on Clifford algebras. We
propose more precisely to extend the famous Heisenberg uncertainty principle to the context …

[PDF][PDF] Sujet

B Hicham - researchgate.net
Le projet s' inscrit dans le cadre général de l'analyse harmonique sur les algèbres de
Clifford. Nous proposons plus précisément d'étendre le fameux principe d'incertitude …