Uncertainty principles for the Clifford-Fourier transform

TL;DR

This paper extends classical uncertainty principles, specifically Hardy's and Miyachi's theorems, to the Clifford-Fourier transform, broadening their applicability in higher-dimensional Clifford analysis.

Contribution

It introduces analogues of Hardy's and Miyachi's theorems for the Clifford-Fourier transform, a novel extension in the field.

Findings

Established Hardy's theorem for Clifford-Fourier transform

Proved Miyachi's theorem analogue for Clifford-Fourier transform

Extended uncertainty principles to Clifford analysis context

Abstract

In this paper, we estabish an analogue of Hardy's theorem and Miyachi's theorem for the Clifford-Fourier transform.