Quaternionic plurisubharmonic functions and their applications to convexity

S. Alesker

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

Quaternionic plurisubharmonic functions and their applications to convexity

S. Alesker^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	St. Petersburg Mathematical Journal
Volume	19
Issue number	1
DOIs	https://doi.org/10.1090/S1061-0022-07-00982-X
State	Published - 2008

Keywords

HKT-geometry
Quaternionic plurisubharmonic functions
Valuation on convex sets

Access to Document

10.1090/S1061-0022-07-00982-X

Cite this

@article{59211d5325a84d67964cd7d05553ca4a,

title = "Quaternionic plurisubharmonic functions and their applications to convexity",

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-K{\"a}hler with Torsion). The exposition follows some earlier papers by the author and a joint paper by Verbitsky and the author.",

keywords = "HKT-geometry, Quaternionic plurisubharmonic functions, Valuation on convex sets",

author = "S. Alesker",

year = "2008",

doi = "10.1090/S1061-0022-07-00982-X",

language = "אנגלית",

volume = "19",

pages = "1--14",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "1",

}

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 - https://www.scopus.com/pages/publications/84867993325

U2 - 10.1090/S1061-0022-07-00982-X

DO - 10.1090/S1061-0022-07-00982-X

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

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 -

Quaternionic plurisubharmonic functions and their applications to convexity

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this