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Algebra i Analiz, 2007, Volume 19, Issue 1, Pages 5–22 (Mi aa100)  
This article is cited in 3 scientific papers (total in 3 papers)

Expository Surveys

Quaternionic plurisubharmonic functions and their applications to convexity

S. Alesker

Department of Mathematics, Tel Aviv University, Tel Aviv, Israel
Full-text PDF (209 kB) Citations (3)
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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 the papers [4, 5, 7] by the author and [8] by Verbitsky and the author.
Keywords: HKT-geometry, valuation on convex sets, quaternionic plurisubharmonic functions.
Received: 01.08.2006
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 1, Pages 1–13
DOI: https://doi.org/10.1090/S1061-0022-07-00982-X
Bibliographic databases:
Document Type: Article
MSC: 31C10, 52A38, 52A39
Language: English
Citation: S. Alesker, “Quaternionic plurisubharmonic functions and their applications to convexity”, Algebra i Analiz, 19:1 (2007), 5–22; St. Petersburg Math. J., 19:1 (2008), 1–13
Citation in format AMSBIB
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\by S.~Alesker
\paper Quaternionic plurisubharmonic functions and their applications to convexity
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 1
\pages 5--22
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2319507}
\zmath{https://zbmath.org/?q=an:1141.32013}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 1
\pages 1--13
\crossref{https://doi.org/10.1090/S1061-0022-07-00982-X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267653000001}
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  • https://www.mathnet.ru/eng/aa100
  • https://www.mathnet.ru/eng/aa/v19/i1/p5
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:480
    Full-text PDF :138
    References:62
    First page:8
     
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