TY - JOUR
T1 - Quaternionic plurisubharmonic functions and their applications to convexity
AU - Alesker, S.
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
KW - HKT-geometry
KW - Quaternionic plurisubharmonic functions
KW - Valuation on convex sets
UR - http://www.scopus.com/inward/record.url?scp=84867993325&partnerID=8YFLogxK
U2 - 10.1090/S1061-0022-07-00982-X
DO - 10.1090/S1061-0022-07-00982-X
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AN - SCOPUS:84867993325
SN - 1061-0022
VL - 19
SP - 1
EP - 14
JO - St. Petersburg Mathematical Journal
JF - St. Petersburg Mathematical Journal
IS - 1
ER -