Uncertainty Principles for the Fractional Dunkl Transform

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DOI: https://doi.org/10.28924/2291-8639-22-2024-224
Published: Dec 9, 2024
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Imen Kallel, Ahmed Saoudi, Uncertainty Principles for the Fractional Dunkl Transform, Int. J. Anal. Appl., 22 (2024), 224.

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Imen Kallel, Ahmed Saoudi

Abstract

In this paper, we examine the Donoho–Stark uncertainty principle in the context of the fractional Dunkl transform. We rigorously derive a formulation of the Donoho–Stark uncertainty principle for the fractional Dunkl transform and provide an application that illustrates its practical significance. Furthermore, we introduce a signal restoration algorithm tailored for the fractional Dunkl transform.

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