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Intertwining Operator and h-Harmonics Associated With Reflection Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1998
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