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arXiv · 2103.04078

A quantum wavelet uncertainty principle

Sabrine Arfaoui·Maryam G Alshehri·Anouar Ben Mabrouk
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Abstract

The aim of this paper is to derive a new uncertainty principle for the generalized $q$-Bessel wavelet transform studied earlier in \cite{Rezguietal}. In this paper, an uncertainty principle associated with wavelet transforms in the $q$-calculus framework has been established. A two-parameters extension of the classical Bessel operator is applied to generate a wavelet function which is exploited next to explore a wavelet uncertainty principle already in the $q$-calculus framework.

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Sabrine Arfaoui, Maryam G Alshehri, Anouar Ben Mabrouk. 2021-03-06. A quantum wavelet uncertainty principle. https://arxiv.org/abs/2103.04078

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