Intertwining Operator and h-Harmonics Associated With Reflection Groups
Canadian journal of mathematics, Tome 50 (1998) no. 1, pp. 193-209

Voir la notice de l'article provenant de la source Cambridge University Press

We study the intertwining operator and $h$ -harmonics in Dunkl's theory on $h$ –harmonics associated with reflection groups. Based on a biorthogonality between the ordinary harmonics and the action of the intertwining operator $V$ on the harmonics, the main result provides a method to compute the action of the intertwining operator $V$ on polynomials and to construct an orthonormal basis for the space of $h$ -harmonics.
DOI : 10.4153/CJM-1998-010-9
Mots-clés : 33C50, 33C45, h-harmonics, intertwining operator, reflection group
Xu, Yuan. Intertwining Operator and h-Harmonics Associated With Reflection Groups. Canadian journal of mathematics, Tome 50 (1998) no. 1, pp. 193-209. doi: 10.4153/CJM-1998-010-9
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