An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R)

Abouelaz, A.; Belkhadir, A.; Daher, R.

Research Article

An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R)

A. Abouelaz¹
A. Belkhadir¹*
R. Daher¹

Department of Mathematics and Informatics, Faculty of Science Ain Chock, University of Hassan II, Casablanca, Morocco

* Corresponding author

Abstract

In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem for functions satisfying the Jacobi-Dunkl Lipschitz condition in $ L^{2}(\R,A_{\alpha ,\beta}(t)dt), \alpha \geq \beta\geq-\frac{1}{2}, \alpha \neq -\frac{1}{2}.$

How to Cite

A. Abouelaz, A. Belkhadir, R. Daher, An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R), Int. J. Anal. Appl. 8 (2015), 15–21.

BibTeX

@article{Abouelaz2015,
  author  = {Abouelaz, A. and Belkhadir, A. and Daher, R.},
  title   = {An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R)},
  journal = {Int. J. Anal. Appl.},
  volume  = {8},
  year    = {2015},
  pages   = {15--21},
  doi     = {}
}

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