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This article is cited in 3 scientific papers (total in 3 papers)
On some questions connected with the problem of existence of automorphic analytic functions with given modulus of boundary values
M. V. Samokhin
Abstract:
For an arbitrary region $D$ in the extended plane it is shown that the possibility of constructing automorphic analytic functions with given modulus of boundary values on the universal covering surface of $D$ is a local property of the boundary of $D$ and is equivalent to the possibility of giving a good description of the extremals for a rather large class of problems in this region.
Bibliography: 12 titles.
Received: 19.03.1979
Citation:
M. V. Samokhin, “On some questions connected with the problem of existence of automorphic analytic functions with given modulus of boundary values”, Mat. Sb. (N.S.), 111(153):4 (1980), 557–578; Math. USSR-Sb., 39:4 (1981), 501–518
Linking options:
https://www.mathnet.ru/eng/sm2658https://doi.org/10.1070/SM1981v039n04ABEH001629 https://www.mathnet.ru/eng/sm/v153/i4/p557
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Abstract page: | 188 | Russian version PDF: | 64 | English version PDF: | 2 | References: | 39 |
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