English

Clifford-wavelet Transform and the uncertainty principle

Mathematical Physics 2019-05-27 v1 math.MP

Abstract

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 R\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.

Keywords

Cite

@article{arxiv.1905.10169,
  title  = {Clifford-wavelet Transform and the uncertainty principle},
  author = {Hicham Banouh and Anouar Ben Mabrouk and Mohamed Kesri},
  journal= {arXiv preprint arXiv:1905.10169},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T09:22:05.897Z