Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt)

Daher, R.; El Ouadih, S.; Belkhadir, A.

Research Article

Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt)

R. Daher
S. El Ouadih*
A. Belkhadir

* Corresponding author

Abstract

In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the (φ,p)-Lipschitz Jacobi-Dunkl condition in the space Lp(R,Aα,β(t)dt),α ≥ β ≥-1/2, α≠-1/2.

How to Cite

R. Daher, S. El Ouadih, A. Belkhadir, Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt), Int. J. Anal. Appl. 8 (2015), 104–109.

BibTeX

@article{Daher2015,
  author  = {Daher, R. and El Ouadih, S. and Belkhadir, A.},
  title   = {Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt)},
  journal = {Int. J. Anal. Appl.},
  volume  = {8},
  year    = {2015},
  pages   = {104--109},
  doi     = {}
}

References

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