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GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS

Year 2016, Volume: 4 Issue: 1, 179 - 184, 01.04.2016

R. Daher , S. El Ouadıh , M. El Hamma

Abstract

Using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [5] for the generalized Fourier-Dunkl transform for func- tions satisfying the (; )-generalized Dunkl Lipschitz condition in the space L2 ;n.

Keywords

Di erential-di erence operator Generalized Fourier-Dunkl transform Generalized translation operator

References

  • [1] S. A. Al Sadhan, R. F. Al Subaie and M. A. Mourou, Harmonic Analysis Associated with A First-Order Singular Di erential-Di erence Operator on the Real Line. Current Advances in Mathematics Research, 1,(2014), 23-34.
  • [2] E. S. Belkina and S. S. Platonov, Equivalence of K-Functionnals and Modulus of Smooth- ness Constructed by Generalized Dunkl Translations, Izv. Vyssh. Uchebn. Zaved. Mat., No. 8(2008), 3-15.
  • [3] C. F. Dunkl, Di erential-Di erence Operators Associated to Re ection Groups. Transactions of the American Mathematical Society, 311,(1989), 167-183.
  • [4] C. F. Dunkl, Hankel Transforms Associated to Finite Re ection Groups. Contemporary Math- ematics, 138,(1992), 128- 138.
  • [5] M. S. Younis, Fourier transforms of Dini-Lipschitz Functions. Int. J. Math. Math. Sci. 9 (2),(1986), 301312. doi:10.1155/S0161171286000376.
  • [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: 1, 179 - 184, 01.04.2016

R. Daher , S. El Ouadıh , M. El Hamma

Abstract

References

  • [1] S. A. Al Sadhan, R. F. Al Subaie and M. A. Mourou, Harmonic Analysis Associated with A First-Order Singular Di erential-Di erence Operator on the Real Line. Current Advances in Mathematics Research, 1,(2014), 23-34.
  • [2] E. S. Belkina and S. S. Platonov, Equivalence of K-Functionnals and Modulus of Smooth- ness Constructed by Generalized Dunkl Translations, Izv. Vyssh. Uchebn. Zaved. Mat., No. 8(2008), 3-15.
  • [3] C. F. Dunkl, Di erential-Di erence Operators Associated to Re ection Groups. Transactions of the American Mathematical Society, 311,(1989), 167-183.
  • [4] C. F. Dunkl, Hankel Transforms Associated to Finite Re ection Groups. Contemporary Math- ematics, 138,(1992), 128- 138.
  • [5] M. S. Younis, Fourier transforms of Dini-Lipschitz Functions. Int. J. Math. Math. Sci. 9 (2),(1986), 301312. doi:10.1155/S0161171286000376.
  • [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

M. El Hamma This is me

Publication Date April 1, 2016
Submission Date July 10, 2014
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

APA Daher, R., Ouadıh, S. E., & Hamma, M. E. (2016). GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS. Konuralp Journal of Mathematics, 4(1), 179-184.
AMA Daher R, Ouadıh SE, Hamma ME. GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS. Konuralp J. Math. April 2016;4(1):179-184.
Chicago Daher, R., S. El Ouadıh, and M. El Hamma. “GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS”. Konuralp Journal of Mathematics 4, no. 1 (April 2016): 179-84.
EndNote Daher R, Ouadıh SE, Hamma ME (April 1, 2016) GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS. Konuralp Journal of Mathematics 4 1 179–184.
IEEE R. Daher, S. E. Ouadıh, and M. E. Hamma, “GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS”, Konuralp J. Math., vol. 4, no. 1, pp. 179–184, 2016.
ISNAD Daher, R. et al. “GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS”. Konuralp Journal of Mathematics 4/1 (April 2016), 179-184.
JAMA Daher R, Ouadıh SE, Hamma ME. GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS. Konuralp J. Math. 2016;4:179–184.
MLA Daher, R. et al. “GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS”. Konuralp Journal of Mathematics, vol. 4, no. 1, 2016, pp. 179-84.
Vancouver Daher R, Ouadıh SE, Hamma ME. GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS. Konuralp J. Math. 2016;4(1):179-84.
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