Baran, Mirosław Siciak’s extremal function of convex sets in \({\mathbb{C}}^ N\). (English) Zbl 0661.32023 Ann. Pol. Math. 48, No. 3, 275-280 (1988). 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 Cited in 10 Documents MSC: 32U05 Plurisubharmonic functions and generalizations Keywords:plurisubharmonic functions; polynomials; extremal functions; convex symmetric sets in \({\mathbb{C}}^ N\) Citations:Zbl 0576.32032; Zbl 0111.081 PDFBibTeX XMLCite \textit{M. Baran}, Ann. Pol. Math. 48, No. 3, 275--280 (1988; Zbl 0661.32023) Full Text: DOI