SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$

R. Daher; S. EL Ouadıh

Research Article

SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$

Year 2016, Volume: 4 Issue: 2, 177 - 182, 01.10.2016

R. Daher , S. EL Ouadıh

https://izlik.org/JA55KK26BU

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

Generalized Fourier-Dunkl transform , Generalized translation operator , Differential-difference operator

References

[1] S. A. Al Sadhan, R. F. Al Subaie and M. A. Mourou, Harmonic analysis associated with a rst-order singular Dierential-Dierence 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.

Year 2016, Volume: 4 Issue: 2, 177 - 182, 01.10.2016

R. Daher , S. EL Ouadıh

https://izlik.org/JA55KK26BU

Abstract

References

[1] S. A. Al Sadhan, R. F. Al Subaie and M. A. Mourou, Harmonic analysis associated with a rst-order singular Dierential-Dierence 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.

There are 6 citations in total.

Details

Primary Language	English
Subjects	Engineering
Journal Section	Research Article
Authors	R. Daher S. EL Ouadıh
Submission Date	June 3, 2014
Publication Date	October 1, 2016
IZ	https://izlik.org/JA55KK26BU
Published in Issue	Year 2016 Volume: 4 Issue: 2

Cite

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.Daher R, Ouadıh SE. 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