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

Yıl 2016, Cilt: 4 Sayı: 2, 177 - 182, 01.10.2016

R. Daher S. EL Ouadıh

Öz

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.

Anahtar Kelimeler

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

Kaynakça

  • [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.

Yıl 2016, Cilt: 4 Sayı: 2, 177 - 182, 01.10.2016

R. Daher S. EL Ouadıh

Öz

Kaynakça

  • [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.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

R. Daher

S. EL Ouadıh

Yayımlanma Tarihi 1 Ekim 2016
Gönderilme Tarihi 3 Haziran 2014
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 2

Kaynak Göster

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. Ekim 2016;4(2):177-182.
Chicago Daher, R., ve S. EL Ouadıh. “SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”. Konuralp Journal of Mathematics 4, sy. 2 (Ekim 2016): 177-82.
EndNote Daher R, Ouadıh SE (01 Ekim 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 ve S. E. Ouadıh, “SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”, Konuralp J. Math., c. 4, sy. 2, ss. 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 (Ekim 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. ve S. EL Ouadıh. “SOME ESTIMATES FOR THE GENERALIZED FOURIER-DUNKL TRANSFORM IN THE SPACE $L_{\alpha,n}^{2}$”. Konuralp Journal of Mathematics, c. 4, sy. 2, 2016, ss. 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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