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Siciak’s extremal function of convex sets in \({\mathbb{C}}^ N\). (English) Zbl 0661.32023

M. Lundin [Mich. Math. J. 32, 197-201 (1985; Zbl 0576.32032)] found a representation of the extremal functions [cf. J. Siciak, Trans. Am. Math. Soc. 105, 322-357 (1962; Zbl 0111.081)] of a convex symmetric set in \({\mathbb{R}}^ N\). In the note under review, the author establishes a similar representation of the extremal functions for closed convex symmetric sets in \({\mathbb{C}}^ N\).
Reviewer: P.Caraman

MSC:

32U05 Plurisubharmonic functions and generalizations
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