International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

A Real Paley-Wiener Theorem for the Generalized Dunkl Transform

  • A. Abouelaz1
  • A. Achak1
  • R. Daher1
  • El. Loualid1*
  1. Faculty of Sciences Aïn Chock, University of Hassan II, Casablanca, Morocco

* Corresponding author

Abstract

In this article, we prove a real Paley-Wiener theorem for the generalized Dunkl transform on R.

How to Cite

A. Abouelaz, A. Achak, R. Daher, E. Loualid, A Real Paley-Wiener Theorem for the Generalized Dunkl Transform, Int. J. Anal. Appl. 8 (2015), 87–92.

BibTeX
@article{Abouelaz2015,
  author  = {Abouelaz, A. and Achak, A. and Daher, R. and Loualid, El.},
  title   = {A Real Paley-Wiener Theorem for the Generalized Dunkl Transform},
  journal = {Int. J. Anal. Appl.},
  volume  = {8},
  year    = {2015},
  pages   = {87--92},
  doi     = {}
}

References

  • [1] Al Sadhan, S.A., Al Subaie, R.F. and Mourou, M.A. Harmonic Analysis Associated with A First-Order Singular Differential-Difference Operator on the Real Line. Current Advances in Mathematics Research, 1(2014), 23-34.
  • [2] M.A. Mourou and K. Trimèche, "Transmutation operators and Paley-Wiener theorem associated with a singular Differential-Difference operator on the real line", Analysis and Applications, 1(2003), 43-70.
  • [3] Nils Byrial Andersen Real Paley-Wiener theorems for the Dunkl transform on R, Integral Transforms and Special Functions, 17(2006), 543-547
  • [4] Chettaoui, C., Trimèche, K., New type Paley-Wiener theorems for the Dunkl transform on R. Integral Transforms and Special Functions, 14(2003), 97-115.
  • [5] Trimèche, K., Paley-Wiener theorems for the Dunkl transform and Dunkl translation operators. Integral Transforms and Special Functions, 13(2002), 17-38.