Quaternionic plurisubharmonic functions and their applications to convexity
Metric Geometry
2016-07-08 v3 Complex Variables
Abstract
The goal of this article is to present a survey of the recent theory of plurisubharmonic functions of quaternionic variables, and its applications to theory of valuations on convex sets and HKT-geometry (HyperK\"ahler with Torsion). The exposition follows the articles math.CV/0104209, math.CV/0208005, math.MG/0401219 by the author and math.CV/0510140 by M. Verbitsky and the author.
Cite
@article{arxiv.math/0606756,
title = {Quaternionic plurisubharmonic functions and their applications to convexity},
author = {Semyon Alesker},
journal= {arXiv preprint arXiv:math/0606756},
year = {2016}
}
Comments
17 pages. The definition of quaternionic Hessian is replaced with a transposed matrix as it should be