Geodesic
Beurling's Theorem for the $Q$-Fourier-Dunkl Transform
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 39

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The $Q$-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using the heat kernel associated to the Q-Fourier-Dunkl operator, we establish an analogue of Beurling's theorem for the $Q$-Fourier-Dunkl transform $\mathcal{F}_{Q}$ on $\mathbb{R}$.
Classification : 42A38, 44A35, 34B30
Keywords: Q-Fourier-Dunkl transform, Beurling's theorem, uncertainty principles 
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     title = {Beurling's {Theorem} for the $Q${-Fourier-Dunkl} {Transform}},
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El Mehdi Loualid; Azzedine Achak; Radouan Daher. Beurling's Theorem for the $Q$-Fourier-Dunkl Transform. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 39 . http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a2/