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Research Articles

A mean value formula for the iterated Dunkl-Helmoltz operator

Pages 292-302 | Received 18 Sep 2020, Accepted 10 May 2021, Published online: 19 May 2021

References

  • Dunkl CF, Xu Y. Orthogonal polynomials of several variables. Cambridge: Cambridge University Press; 2001.
  • Rösler M. Dunkl operators: theory and applications. Göttingen: Universität Göttingen; 2004. (Lecture notes).
  • Rösler M, Voit M. Markov processes related with Dunkl operators. Adv Appl Math. 1998;21:575–643.
  • Mejjaoli H, Trimèche K. On a mean value property associated with the Dunkl Laplacian operator and applications. Integral Transforms Spec Funct. 2001;12:279–302.
  • Gallardo L, Rejeb C. A new mean value property for harmonic functions relative to the Dunkl-Laplacian operator and applications. Trans Amer Math Soc. 2016;368:3727–3753.
  • Łysik G. On mean-value properties for the Dunkl polyharmonic functions. Opuscula Math. 2015;35:655–664.
  • González Vieli FJ. Moyennes sphériques et opérateur de Helmoltz itéré. Colloq Math. 1995;68:207–218.
  • Kawazoe T, Mejjaoli H. Uncertainty principles for the Dunkl transform. Hiroshima Math J. 2010;40:241–268.
  • Schwartz L. Théorie des distributions. Paris: Hermann; 1966.

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