Quaternionic Monge-Ampere equations
Complex Variables
2016-07-06 v4 Analysis of PDEs
Abstract
The main result of this paper is the existence and uniqueness of solution of the Dirichlet problem for quaternionic Monge-Ampere equations in quaternionic strictly pseudoconvex bounded domains in H^n. We continue the study of the theory of plurisubharmonic functions of quaternionic variables started by the author at [2].
Cite
@article{arxiv.math/0208005,
title = {Quaternionic Monge-Ampere equations},
author = {Semyon Alesker},
journal= {arXiv preprint arXiv:math/0208005},
year = {2016}
}
Comments
48 pages. The definition of quaternionic Hessian is replaced with the transposed matrix as it should be