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

Research Article

Harmonic Analysis Associated with the Generalized Weinstein Operator

  • Ahmed Abouelaz
  • Azz-edine Achak
  • Radouan Daher
  • El Mehdi Loualid*

    * Corresponding author

    Abstract

    In this paper we consider a generalized Weinstein operator ∆d,α,n on Rd-1×]0,∞[, which generalizes the Weinstein operator ∆d,α, we define the generalized Weinstein intertwining operator Rα,n which turn out to be transmutation operator between ∆d,α,n and the Laplacian operator ∆d. We build the dual of the generalized Weinstein intertwining operatortRα,n, another hand we prove the formula related Rα,n andtRα,n . We exploit these transmutation operators to develop a new harmonic analysis corresponding to ∆d,α,n.

    How to Cite

    A. Abouelaz, A.-e. Achak, R. Daher, E. M. Loualid, Harmonic Analysis Associated with the Generalized Weinstein Operator, Int. J. Anal. Appl. 9 (2015), 19–28.

    BibTeX
    @article{Abouelaz2015,
  author  = {Abouelaz, Ahmed and Achak, Azz-edine and Daher, Radouan and Loualid, El Mehdi},
  title   = {Harmonic Analysis Associated with the Generalized Weinstein Operator},
  journal = {Int. J. Anal. Appl.},
  volume  = {9},
  year    = {2015},
  pages   = {19--28},
  doi     = {}
}

    References

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