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Quaternionic plurisubharmonic functions and their applications to convexity

Semyon Alesker
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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 (HyperKähler 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.

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Semyon Alesker. 2016-07-07. Quaternionic plurisubharmonic functions and their applications to convexity. https://arxiv.org/abs/math/0606756

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