Uncertainty Principles for the Dunkl-Bessel type transform
Keywords:
Beurling’s theorem, Gelfand-Shilov theorem, Cowling-Price’s theorem, Morgan’s theoremAbstract
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.
Downloads
References
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.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 najat safouane, Daher Radouan
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright on any article in the International Journal of Engineering and Applied Physics is retained by the author(s) under the Creative Commons license, which permits unrestricted use, distribution, and reproduction provided the original work is properly cited.
License agreement
Authors grant IJEAP a license to publish the article and identify IJEAP as the original publisher.
Authors also grant any third party the right to use, distribute and reproduce the article in any medium, provided the original work is properly cited.
Most read articles by the same author(s)
- Azzedine Achak, Radouan Daher, Najat Safouane, Titchmarsh Theorems and K-Functionals for the Two-Sided Quaternion Fourier Transform , International Journal of Engineering and Applied Physics: Vol. 1 No. 1: January 2021
- Azzedine Achak, Radouan Daher, Najat Safouane, Harmonic analysis associated with the Weinstein type operator on Rd , International Journal of Engineering and Applied Physics: Vol. 1 No. 1: January 2021
2020 - 2023, International Journal of Engineering and Applied Physics (IJEAP) 
