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

来源：

ADVANCES IN MATHEMATICS | 2016年 / 303卷

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

页码：1077 / 1121

页数：45