Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

被引：63

作者：

Alesker, S ^{[1
]}

机构：

[1] Tel Aviv Univ, Dept Math, IL-69978 Tel Aviv, Israel

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2003年 / 127卷 / 01期

关键词：

quaternions; non-commutative determinants; plurisubharmonic functions;

D O I：

10.1016/S0007-4497(02)00004-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We remind known and establish new properties of the Dieudonne and Moore determinants of quaternionic matrices. Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables. (C) 2002 Editions scientifiques et medicales Elsevier SAS. All rights reserved.

引用

页码：1 / 35

页数：35