100
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

On the generalized Poisson transform

Pages 775-784 | Received 26 Nov 2008, Published online: 03 Sep 2009

References

  • Dunkl , C. F. 1989 . Differential-difference operators associated to reflection groups . Trans. Amer. Math. Soc. , 311 ( 1 ) : 167 – 183 .
  • Dunkl , C. F. 1992 . Hankel transforms associated to finite reflection groups, hypergeometric functions on domains of positivity, Jack polynomials, and applications . Contemp. Math. , 138 : 123 – 138 .
  • de Jeu , M. F.E. 1993 . The Dunkl transform . Invent. Math. , 113 : 147 – 162 .
  • Gallardo , L. and Godefroy , L. 2003 . Liouville's property and Poisson's equation for the generalized Dunkl Laplacian . C.R Acad. Sci Paris. , 337
  • Lapointe , L. and Vinet , L. 1996 . Exact operator solution of the Calogero-Sutherland model . J. Phys. , 178 : 425 – 452 .
  • Maslouhi , M. and Youssfi , E. H. 2007 . Harmonic functions associated to Dunkl operators . Monatsh. Math. , 152 : 337 – 345 .
  • Rösler , M. 2003 . A positive radial product formula for the Dunkl kernel . Trans. Amer. Math. Soc. , 355 : 2413 – 2438 .
  • Rösler , M. 1998 . Generalized Hermite polynomials and the heat equation for Dunkl operators . Comm. Math. Phys. , 3 : 519 – 542 .
  • Triméche , K. 2002 . Paley–Wiener theorems for the Dunkl transform and Dunkl translation operators . Integral Transforms Spec. Funct. , 13 : 17 – 38 .
  • Triméche , K. 2006 . Hypoelliptic Dunkl Convolution Equations in the Space of Distributions on ℝd . J. Fourier Anal. Appl. , 12 ( 5 )
  • Mejjaoli , H. and Triméche , K. 2001 . On a mean value property associated with the Dunkl Laplacian operator and applications . Integral Transforms Spec. Funct. , 12 ( 3 ) : 279 – 301 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.