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.References
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Bibliographic Information
- S. Alesker
- Affiliation: Department of Mathematics, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel
- MR Author ID: 367436
- Email: semyon@post.tau.ac.il
- Received by editor(s): August 1, 2006
- Published electronically: December 12, 2007
- Additional Notes: Partially supported by ISF (grant 1369/04)
- © Copyright 2007 American Mathematical Society
- Journal: St. Petersburg Math. J. 19 (2008), 1-13
- MSC (2000): Primary 31C10, 52A38, 52A39
- DOI: https://doi.org/10.1090/S1061-0022-07-00982-X
- MathSciNet review: 2319507
Dedicated: Dedicated to Professor Victor Abramovich Zalgaller on the occasion of his 85th birthday