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Quaternionic Monge-Ampère equations

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Abstract

The main result of this article is the existence and uniqueness of the solution of the Dirichlet problem for quaternionic Monge-Ampère equations in quaternionic strictly pseudoconvex bounded domains in ℍn. We continue the study of the theory of plurisubharmonic functions of quaternionic variables started by the author at [2].

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  1. Department of Mathematics, Tel Aviv University, Ramat Aviv, 69978, Tel Aviv, Israel

    Semyon Alesker

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Alesker, S. Quaternionic Monge-Ampère equations. J Geom Anal 13, 205–238 (2003). https://doi.org/10.1007/BF02930695

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