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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 4, Pages 723–732
(Mi smj999)
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This article is cited in 3 scientific papers (total in 3 papers)
Effective solution of the Carleman problem for some groups of divergent type
E. P. Aksent'evaa, F. N. Garif'yanovb a Kazan State University
b Kazan State Power Engineering University
Abstract:
We consider a Fuchsian group of the first kind containing only hyperbolic transformations. We obtain an effective solution (explicit in terms of transformations of the group) to the Carleman boundary value problem on a fundamental polygon where the inverse shift is induced by the generating transformations of the group.
Keywords:
boundary value problem, analytic function, linear-fractional transformation.
Received: 04.11.2003
Citation:
E. P. Aksent'eva, F. N. Garif'yanov, “Effective solution of the Carleman problem for some groups of divergent type”, Sibirsk. Mat. Zh., 46:4 (2005), 723–732; Siberian Math. J., 46:4 (2005), 573–580
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https://www.mathnet.ru/eng/smj999 https://www.mathnet.ru/eng/smj/v46/i4/p723
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Abstract page: | 352 | Full-text PDF : | 99 | References: | 59 |
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