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Clifford Wavelet Transform and the Uncertainty Principle
Journal article   Peer reviewed

Clifford Wavelet Transform and the Uncertainty Principle

Hicham Banouh, Anouar Ben Mabrouk and Mhamed Kesri
Advances in applied Clifford algebras, Vol.29(5), p.1
01/11/2019

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
The present paper lies in the whole topic of wavelet harmonic analysis on Clifford algebras. In which we derive a Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform. A brief review of Clifford algebra/analysis, wavelet transform on Rand Clifford Fourier transform and their properties is conducted. Next, such concepts are applied to develop an uncertainty principle based on Clifford wavelets.

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