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Logarithmic uncertainty principle for Clifford-wavelet transform

2024/03/23 by Sabrine Arfaoui, Arfaoui, Sabrine, Hicham Banouh +3
Mathematics · #15A66 #30G35 #42B10 #42C40 #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2404.02165

openalex publication_date 2024/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The uncertainty principle constitutes one of the famous physical concepts which continues to attract researchers from different related fields since its discovery due to its utility in many applications. Among the classical (Fourier-based) forms, modified variants such as wavelet-based and logarithmic versions have been investigated by researchers. In the present work we are concerned with the development of a new logarithmic uncertainty principle combining both wavelets and logarithmic variants in the Clifford wavelet transform framework.

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