St. Petersburg Mathematical Society

Author(s): S. Alesker
Original publication: Algebra i Analiz, tom 19 (2007), nomer 1.
Journal: St. Petersburg Math. J. 19 (2008), 1-13.
MSC (2000): Primary 31C10, 52A38, 52A39
Posted: 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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Retrieve articles in St. Petersburg Mathematical Journal with MSC (2000): 31C10, 52A38, 52A39

S. Alesker
Affiliation: Department of Mathematics, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel
Email: semyon@post.tau.ac.il

DOI: 10.1090/S1061-0022-07-00982-X
PII: S 1061-0022(07)00982-X
Keywords: HKT-geometry, valuation on convex sets, quaternionic plurisubharmonic functions
Received by editor(s): 1/AUG/2006
Posted: December 12, 2007
Additional Notes: Partially supported by ISF (grant 1369/04)
Dedicated: Dedicated to Professor Victor Abramovich Zalgaller on the occasion of his 85th birthday
Copyright of article: Copyright 2007, American Mathematical Society

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ISSN: 1547-7371(e) ISSN: 1061-0022(p)

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