Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

Fuente: arXiv
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Main Author: Alesker, Semyon
Format: Preprint
Published: 2001
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author Alesker, Semyon
author_facet Alesker, Semyon
contents We recall known and establish new properties of the Dieudonné and Moore determinants of quaternionic matrices.Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables. Then we introduce and briefly discuss quaternionic Monge-Ampére equations.
format Preprint
id arxiv_https___arxiv_org_abs_math_0104209
institution arXiv
publishDate 2001
record_format arxiv
spellingShingle Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables
Alesker, Semyon
Complex Variables
Analysis of PDEs
Rings and Algebras
We recall known and establish new properties of the Dieudonné and Moore determinants of quaternionic matrices.Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables. Then we introduce and briefly discuss quaternionic Monge-Ampére equations.
title Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables
topic Complex Variables
Analysis of PDEs
Rings and Algebras
url https://arxiv.org/abs/math/0104209