Shöji Kobayashi, Nobuyuki Suita
Abstract
In this paper several results on analytic diameters and analytic centers are obtained. We show that the extremal function for analytic diameter is unique and that there exist compact sets with many analytic centers. We answer negatively several problems posed by F. Miinsker.
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In this paper several results on analytic diameters and analytic centers are obtained. We show that the extremal function for analytic diameter is unique and that there exist compact sets with many analytic centers. We answer negatively several problems posed by F. Miinsker.
Key concepts: Analytic function, Mathematics, Analytic element method, Global analytic function, Function (biology), Analytic continuation, Pure mathematics, Mathematical analysis