Uncertainty Principles for the Dunkl-Bessel type transform


  • Najat Safouane Department of Mathematics
  • Daher Radouan Department of Mathematics, Faculty of Sciences Ain Chock. University of Hassan II Casablanca 20100, Morocco


Beurling’s theorem, Gelfand-Shilov theorem, Cowling-Price’s theorem, Morgan’s theorem


The Dunkl-Bessel type transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling’s theorem, Gelfand-Shilov theorem, Cowling-Price’s theorem and Morgan’s theorem are obtained for the Dunkl-Bessel type transform.


Download data is not yet available.


A. Abouelaz, A. Achak, R. Daher, El. Loualid, Harmonic analysis associated with the Dunkl-Bessel type-Laplace operator, (IJAREM) volume. 01, Issue 04, July 2015.

A. Beurling, In: The Collected Works of Arne Beurling. Birkhäuser, Boston (1989), 1-2.

A. Bonami, B. Demange and P. Jaming, Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms. Rev. Mat. Iberoamericana 19 (2002), 22-35.

L. Bouattour and K. Trimèche, An analogue of Beurling-Hörmader’s theorem for the Chébli-Trimèche transfrom. Global J. of Pure and Appl. Math. 1, No 3(2005), 342-357.

M. G. Cowling and J. F. Prices, Generalizations of Heisemberg’s inequality. In: Lecture Notes in Math. 992, Springer, Berlin (1983), 443-449.

G. H. Hardy, A theorem concerning Fourier transform. J. London Math. Soc. 8 (1933), 227-231.

L. Hörmander, A uniqueness theorem of Beurling for Fourier transform pairs. Ark.F?or Math. 2, No 2 (1991), 237-240.

H. Mejjaoli and K. Trimèche, An analogue of Hardy’s theorem and its Lp- version for the Dunkl-Bessel transform. Concrete Mathematica (2004).

G. W. Morgan, A note on Fourier transforms. J. London Math. Soc. 9 (1934), 188-192.




How to Cite

N. Safouane and D. Radouan, “Uncertainty Principles for the Dunkl-Bessel type transform”, International Journal of Engineering and Applied Physics, vol. 2, no. 1, pp. 402–412, Jan. 2022.