On geometric properties of the boundary of a~domain of holomorphy
Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 41-54
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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.
@article{IM2_1981_16_1_a2,
author = {S. N. Bychkov},
title = {On geometric properties of the boundary of a~domain of holomorphy},
journal = {Izvestiya. Mathematics },
pages = {41--54},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {1981},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a2/}
}
S. N. Bychkov. On geometric properties of the boundary of a~domain of holomorphy. Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 41-54. http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a2/