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A Variation of uncertainty principles for the continuous wavelet transform connected with the Riemann–Liouville operator

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Abstract

The aim of this paper is to prove a generalization of uncertainty principles for the continuous wavelet transform connected with the Riemann–Liouville operator in \(L^p\)-norm. More precisely, we establish the Heisenberg–Pauli–Weyl uncertainty principle, Donoho–Stark’s uncertainty principles and local Cowling-Price’s type inequalities. Finally, Pitt’s inequality and Beckner’s uncertainty principle are proved for this transform.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Northern Borders University, Arar, Saudi Arabia

    Khaled Hleili

  2. Department of Mathematics, Preparatory Institute for Engineering Studies of Kairouan, Kairouan, Tunisia

    Khaled Hleili

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  1. Khaled Hleili
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Correspondence to Khaled Hleili.

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Hleili, K. A Variation of uncertainty principles for the continuous wavelet transform connected with the Riemann–Liouville operator. Afr. Mat. 34, 84 (2023). https://doi.org/10.1007/s13370-023-01132-x

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