# Clifford-wavelet Transform and the uncertainty principle

## TL;DR

This paper establishes a Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform, expanding the theoretical framework of Clifford analysis and wavelet theory.

## Contribution

It introduces a novel uncertainty principle specific to Clifford wavelets, integrating Clifford algebra with wavelet analysis.

## Key findings

- Derived a Heisenberg-type uncertainty principle for Clifford wavelet transform.
- Reviewed Clifford algebra, wavelet transform, and Clifford-Fourier transform properties.
- Applied concepts to develop an uncertainty principle based on Clifford wavelets.

## 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 $\mathbb{R}$ 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.