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1. CJM 1998 (vol 50 pp. 193)

Xu, Yuan
Intertwining operator and $h$-harmonics associated with reflection groups
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.

Keywords:$h$-harmonics, intertwining operator, reflection group
Categories:33C50, 33C45

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