Invariant differential operators on Hermitian symmetric spaces and their eigenvalues

被引：12

作者：

Zhang, GK ^{[1
]}

机构：

[1] Univ Karlstad, Dept Math, S-65188 Karlstad, Sweden

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2000年 / 119卷 / 1期

关键词：

D O I：

10.1007/BF02810667

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (D) over bar be the invariant Cauchy Riemann operator and M-m = D-m (D) over bar (m) the corresponding invariant Laplacians on a bounded symmetric domain. We calculate the eigenvalues of M-m on spherical functions. In particular we prove that for a symmetric domain off rank two the operators M-1, M-3 generate all invariant differential operators. We also find the eigenvalues of the generators introduced by Shimura.

引用

页码：157 / 185

页数：29

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