Intertwining operator and h-harmonics associated with reflection groups

被引：8

作者：

Xu, Y ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1998年 / 50卷 / 01期

关键词：

h-harmonics; intertwining operator; reflection group;

D O I：

10.4153/CJM-1998-010-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：193 / 209

页数：17

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