The main crux of this paper is to introduce Lᵖ local uncertainty inequalities for the Weinstein transform, and we study Lᵖ version of the Heisenberg-Pauli-Weyl uncertainty inequalities for this transform. Then, by using the Lᵖ local uncertainty inequalities for the Weinstein transform and the tools of Donoho-Stark, we obtain uncertainty principles of concentration in the Lᵖ theory, for all 1 p ≤ 2.
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Saoudi et al. (2024) studied this question.
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