Homogeneous vector bundles and intertwining operators for symmetric domains

被引:8
|
作者
Misra, Gadadhar [1 ]
Upmeier, Harald [2 ]
机构
[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
[2] Univ Marburg, Dept Math, D-35032 Marburg, Germany
关键词
The Bergman operator; The Jordan triple product; Co-variant kernel; Homogeneous operator; Holomorphic Hermitian; homogeneous vector bundles; Intertwining operator; Irreducible action; Wallach set; COWEN-DOUGLAS CLASS; MULTIPLICATION OPERATORS; HOLOMORPHIC-FUNCTIONS; SPACES; REPRESENTATIONS; ALGEBRAS; KERNELS; SERIES;
D O I
10.1016/j.aim.2016.08.036
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main features of homogeneous Cowen-Douglas operators, well-known for the unit disk, are generalised to the setting of hermitian bounded symmetric domains of arbitrary rank. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:1077 / 1121
页数:45
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