A sharp Clifford-wavelet Heisenberg-type uncertainty principle

2020/06/07 by Banouh, Hicham, Mabrouk, Anouar Ben
#15A66 #30G35 #42B10 #42C40 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2006.04169

Abstract

In the present work we are concerned with the development of a new uncertainty principle based on wavelet transform in the Clifford analysis/algebras framework. We precisely derive a sharp Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform.

Related

• Clifford-wavelet Transform and the uncertainty principle
• Clifford wavelet transform and the associated Donoho-Stark's uncertainty Principle
• Logarithmic uncertainty principle for Clifford-wavelet transform
• The uncertainty principle in Clifford analysis
• Heisenberg's and Hardy's Uncertainty Principles in Real Clifford Algebras