Clifford wavelet transform and the associated Donoho-Stark's uncertainty Principle

2022/09/24 by Arfaoui, Sabrine
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.12037

Abstract

This paper focuses on studying the Donoho-Stark's type uncertainty principle for the continuous Clifford wavelet transform. A brief review of Clifford algebra/analysis, Clifford wavelet transform and their properties is conducted. Next, such concepts are applied to develop an uncertainty principle based on Clifford wavelets.

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• Clifford-wavelet Transform and the uncertainty principle
• A sharp Clifford-wavelet Heisenberg-type uncertainty principle
• Logarithmic uncertainty principle for Clifford-wavelet transform
• Uncertainty principles for the Clifford-Fourier transform
• The uncertainty principle in Clifford analysis