An analog of Hardy’s theorem for the second Hankel-Clifford transformation
DOI:
https://doi.org/10.20956/j.v19i1.21845Keywords:
econd Hankel-Clifford transformation, Bessel-Clifford functionAbstract
In this paper, we generalize theorem of Hardy for the second Hankel-
Clifford transform .
References
References
V. A. Abilov and F. V. Abilova, Approximation of Functions by Fourier-Bessel
sums, IZV. Vyssh. Uchebn Zaved. Mat., No.8, 3-9 (2001).
J. J. Bentancor, The Hankel-Clifford transformation on certain spaces of ultradis-
tributions, Indian. J. pure Appl. Math., 20, No. 6,583-603 (1989).
R. Daher, On the theorems of Hardy and Miyachi for the Jacobi-Dunkl transform,
Integral transforms and special functions. Vol. 18., No. 5, May 2007, 305-311.
G. H. Hardy, A theorem concerning Fourier transform, J. London Math Soc. 1933,
: 227-231.
N. Hayek, Sobre la transformaci´on de Hankel, Actas de la VIII Reuni´on Anual de
Matem´aticos Epa´noles, 1967, pp. 47-60.
A. Gray, G. B. Matthecos and T. M.MacRobert, A Treatise on Bessel functions
and their applications to physics, Macmillan, London, 1952.
H. Mejjaoli and K. Trim`eche, A variant of Hardy’s and Miyachi’s theorems for the
Bessel-Struve transform, Integral transforms and special functions. Vol. 28, No. 5,
, 374-385.
J. M. R. M´endez P´erez and M. M. Socas Robayna, A pair of generalized Hankel-
Clifford transformation and their applications, J. Math. Anal. Appl. 154 (1991)
-557.
S. P. Malgonde and S. R. Bandewar, On the generalized Hankel-Clifford transfor-
mation of arbitrary order, Proc. Indian Alod Sci .Math Sci 110 (3)(2000) 293-304.
P. Prasad and V. K. Singh Pseudo-differential operators involving Hankel-Clifford
transformations, Asian-European. J. Math, Vol. 5, No.3 (2012), 15 pages.
A. Sitaram and M. Sundari, An analog of Hardy’s theorem for rapidly decreasing
functions on semi simple Lie groups, Pasific. J. Math., 177, 187-200 (1977).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Author and publisher
This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Jurnal Matematika, Statistika dan Komputasi is an Open Access journal, all articles are distributed under the terms of the Creative Commons Attribution License, allowing third parties to copy and redistribute the material in any medium or format, transform, and build upon the material, provided the original work is properly cited and states its license. This license allows authors and readers to use all articles, data sets, graphics and appendices in data mining applications, search engines, web sites, blogs and other platforms by providing appropriate reference.