### Beurling’s Theorem for the Q-Fourier-Dunkl Transform

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**Authors: ** E. M. LOUALID, A. ACHAK AND R. DAHER

**DOI: ** 10.46793/KgJMat2101.039L

**Abstract: **

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 ℱ_{Q} on ℝ.

**Keywords: **

Q-Fourier-Dunkl transform, Beurling’s theorem, uncertainty principles.

**References: **

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