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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1980 Volume 44, Issue 1, Pages 46–62 (Mi im1530)

This article is cited in 1 paper

On geometric properties of the boundary of a domain of holomorphy

S. N. Bychkov


Abstract: In this article the author obtains a description of the Shilov boundary of a convex domain in $\mathbf C^n$. Based on this description, he proves that the metric dimension of the Shilov boundary of a bounded convex domain in $\mathbf C^2$ is not less than two.
Bibliography: 15 titles.

UDC: 517.5

MSC: Primary 32F99; Secondary 46J20

Received: 14.09.1979


 English version:
Mathematics of the USSR-Izvestiya, 1981, 16:1, 41–54

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