EN
GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS
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
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.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 1, 2016
Submission Date
July 10, 2014
Acceptance Date
-
Published in Issue
Year 2016 Volume: 4 Number: 1
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. https://izlik.org/JA39GJ87BL
AMA
1.Daher R, Ouadıh SE, Hamma ME. GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS. Konuralp J. Math. 2016;4(1):179-184. https://izlik.org/JA39GJ87BL
Chicago
Daher, R., S. El Ouadıh, and M. El Hamma. 2016. “GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS”. Konuralp Journal of Mathematics 4 (1): 179-84. https://izlik.org/JA39GJ87BL.
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
[1]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, Apr. 2016, [Online]. Available: https://izlik.org/JA39GJ87BL
ISNAD
Daher, R. - Ouadıh, S. El - Hamma, M. El. “GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 179-184. https://izlik.org/JA39GJ87BL.
JAMA
1.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, Apr. 2016, pp. 179-84, https://izlik.org/JA39GJ87BL.
Vancouver
1.R. Daher, S. El Ouadıh, M. El Hamma. GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):179-84. Available from: https://izlik.org/JA39GJ87BL
