Beurling's Theorem for the $Q$-Fourier-Dunkl Transform
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 39
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
Keywords: Q-Fourier-Dunkl transform, Beurling's theorem, uncertainty principles
@article{KJM_2021_45_1_a2,
author = {El Mehdi Loualid and Azzedine Achak and Radouan Daher},
title = {Beurling's {Theorem} for the $Q${-Fourier-Dunkl} {Transform}},
journal = {Kragujevac Journal of Mathematics},
pages = {39 },
year = {2021},
volume = {45},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a2/}
}
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/