Quaternionic plurisubharmonic functions and their applications to convexity

Alesker, S.

doi:10.1090/S1061-0022-07-00982-X

Quaternionic plurisubharmonic functions and their applications to convexity
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by S. Alesker

St. Petersburg Math. J. 19 (2008), 1-13

DOI: https://doi.org/10.1090/S1061-0022-07-00982-X

Published electronically: December 12, 2007

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Abstract:

The paper is a survey of the recent theory of plurisubharmonic functions of quaternionic variables, together with its applications to the theory of valuations on convex sets and HKT-geometry (Hyper-Kähler with Torsion). The exposition follows some earlier papers by the author and a joint paper by Verbitsky and the author.

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