EN
SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$
Abstract
Some estimates are proved for the generalized Fourier-Dunkl transform in the space $L_{\alpha,n}^{2}$ on certain classes of functions characterized by the generalized continuity modulus.
Keywords
References
- [1] S. A. Al Sadhan, R. F. Al Subaie and M. A. Mourou, Harmonic analysis associated with a rst-order singular Di erential-Di erence operator on the real line. Current Advances in Mathematics Research, 1,(2014), 23-34.
- [2] V. A. Abilov, F. V. Abilova, Approximation of functions by Fourier-Bessel sums. Izv. Vyssh. Uchebn. Zaved. Mat. 8, (2001), 3-9 .
- [3] C. F. Dunkl, Differential-Difference operators associated to reection groups. Transactions of the American Mathematical Society, 311,(1989), 167-183.
- [4] C. F. Dunkl, Hankel transforms associated to nite re ection groups. Contemporary Mathematics, 138, (1992), 128- 138.
- [5] V. A. Abilov, F. V. Abilova and M. K. Kerimov, Some remarks concerning the Fourier transform in the space L2(R) Zh. Vychisl. Mat. Mat. Fiz. 48, 939-945 (2008) [Comput. Math. Math. Phys. 48, 885-891].
- [6] R. F. Al Subaie and M. A. Mourou, Inversion of two Dunkl type intertwining operators on R using generalized wavelets. Far East Journal of Applied Mathematics, 88,(2014), 91-120.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
October 1, 2016
Submission Date
June 3, 2014
Acceptance Date
-
Published in Issue
Year 2016 Volume: 4 Number: 2
APA
Daher, R., & Ouadıh, S. E. (2016). SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp Journal of Mathematics, 4(2), 177-182. https://izlik.org/JA55KK26BU
AMA
1.Daher R, Ouadıh SE. SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp J. Math. 2016;4(2):177-182. https://izlik.org/JA55KK26BU
Chicago
Daher, R., and S. EL Ouadıh. 2016. “SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”. Konuralp Journal of Mathematics 4 (2): 177-82. https://izlik.org/JA55KK26BU.
EndNote
Daher R, Ouadıh SE (October 1, 2016) SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp Journal of Mathematics 4 2 177–182.
IEEE
[1]R. Daher and S. E. Ouadıh, “SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”, Konuralp J. Math., vol. 4, no. 2, pp. 177–182, Oct. 2016, [Online]. Available: https://izlik.org/JA55KK26BU
ISNAD
Daher, R. - Ouadıh, S. EL. “SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”. Konuralp Journal of Mathematics 4/2 (October 1, 2016): 177-182. https://izlik.org/JA55KK26BU.
JAMA
1.Daher R, Ouadıh SE. SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp J. Math. 2016;4:177–182.
MLA
Daher, R., and S. EL Ouadıh. “SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”. Konuralp Journal of Mathematics, vol. 4, no. 2, Oct. 2016, pp. 177-82, https://izlik.org/JA55KK26BU.
Vancouver
1.R. Daher, S. EL Ouadıh. SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp J. Math. [Internet]. 2016 Oct. 1;4(2):177-82. Available from: https://izlik.org/JA55KK26BU
