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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 1, Pages 177–186
(Mi smj2187)
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This article is cited in 2 scientific papers (total in 2 papers)
Finitely valent locally biholomorphic mappings of bounded domains
V. V. Starkov Petrozavodsk State University, Faculty of Mathematics, Petrozavodsk
Abstract:
Considering countably connected domains of the plane, we solve the problem of existence of finitely valent locally biholomorphic mappings of a bounded domain onto a disk. We obtain sufficient conditions for the existence of the corresponding mappings in higher dimensions.
Keywords:
locally biholomorphic mapping, multivalent mapping, complex manifold.
Received: 11.02.2010
Citation:
V. V. Starkov, “Finitely valent locally biholomorphic mappings of bounded domains”, Sibirsk. Mat. Zh., 52:1 (2011), 177–186; Siberian Math. J., 52:1 (2011), 139–146
Linking options:
https://www.mathnet.ru/eng/smj2187 https://www.mathnet.ru/eng/smj/v52/i1/p177
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Abstract page: | 363 | Full-text PDF : | 87 | References: | 70 | First page: | 3 |
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