Quaternionic plurisubharmonic functions and their applications to convexity

DOI10.1090/S1061-0022-07-00982-XzbMath1141.32013arXivmath/0606756OpenAlexW2021213721MaRDI QIDQ5440792

Semyon Alesker

Publication date: 5 February 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606756

zbMATH Keywords

quaternionic plurisubharmonic functionsHKT-geometryvaluations on convex sets

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Plurisubharmonic functions and generalizations (32U05)

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Cites Work

• Continuous translation invariant valuations on the space of compact convex sets
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