# Article

MSC: 31B30, 33C55
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Keywords:
Dunkl Laplacian; reproducing kernel
Summary:

References:
[1] Dunkl C.F.: Differential-difference operators associated to reflection group. Trans. Amer. Math. Soc. 311 (1989), no. 1, 167–183. MR 0951883
[2] Dunkl C.F., Xu Y.: Orthogonal Polynomials of Several Variables. Cambridge Univ. Press, Cambridge, 2001. MR 1827871 | Zbl 0964.33001
[3] Kuran Ü.: On Brelot-Choquet axial polynomials. J. London Math. Soc. (2) 4 (1971), 15–26. MR 0293116 | Zbl 0219.31013
[4] Mejjaoli H., Trimèche K.: On a mean value property associated with the Dunkl Laplacian operator and applications. Integral Transform. Spec. Funct. 12 (2001), no. 3, 279–302. MR 1872437
[5] Ren G.B.: Almansi decomposition for Dunkl operators. Sci. China Ser. A 48 (2005), suppl., 333–342. MR 2156514 | Zbl 1131.43010
[6] Render H.: Reproducing kernels for polyharmonic polynomials. Arch. Math. 91 (2008), 136–144. MR 2430797 | Zbl 1151.31007
[7] Rösler M.: Dunkl operators: theory and applications. Orthogonal polynomials and special functions. (Leuven, 2002), Lecture Notes in Mathematics, 1817, Springer, Berlin, 2003, pp. 93–135. MR 2022853
[8] Rösler M.: Generalized Hermite polynomials and the heat equation for Dunkl operators. Comm. Math. Phys. 192 (1998), 519–542. MR 1620515
[9] Trimèche K.: The Dunkl intertwining operator on spaces of functions and distributions and integral representation of its dual. Integral Transform. Spec. Funct. 12 (2001), no. 4, 349–374. MR 1872375

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