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1. CJM 1998 (vol 50 pp. 193)
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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 |