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arxiv: 1905.10169 · v1 · pith:2DUJF2Q6new · submitted 2019-05-24 · 🧮 math-ph · math.MP

Clifford-wavelet Transform and the uncertainty principle

classification 🧮 math-ph math.MP
keywords transformcliffordprincipleuncertaintybeenwaveletalgebraanalysis
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In this paper we derive a Heisenberg-type uncertainty principle for the continuous Clifford wavelet transform. A brief review of Clifford algebra/analysis, wavelet transform on $\mathbb{R}$ and Clifford-Fourier transform and their proprieties has been conducted. Next, such concepts have been applied to develop an uncertainty principle based on Clifford wavelets.

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