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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

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 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.

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

R. Daher S. EL Ouadıh

Abstract

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.
There are 6 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

R. Daher

S. EL Ouadıh

Publication Date October 1, 2016
Submission Date June 3, 2014
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.
AMA Daher R, Ouadıh SE. SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$. Konuralp J. Math. October 2016;4(2):177-182.
Chicago 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 4, no. 2 (October 2016): 177-82.
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 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, 2016.
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 2016), 177-182.
JAMA 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, 2016, pp. 177-82.
Vancouver 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):177-82.
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