Some formulas for the canonical kernel function

被引：9
|
作者：
de Oliveira, MP [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
GEOMETRIAE DEDICATA | 2001年 / 86卷 / 1-3期
关键词：
reproducing kernels; bounded symmetric domains; semisimple groups;
D O I：
10.1023/A:1011915708964
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present some expressions for the canonical kernel function of a bounded symmetric domain. We show how it is related both to the reproducing kernel of a holomorphic discrete series representation and to the contravariant form on highest weight modules over semisimple Lie algebras of Hermitian type.
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页码：227 / 247
页数：21
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