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Sbornik: Mathematics, 2015, Volume 206, Issue 2, Pages 311–332
DOI: https://doi.org/10.1070/SM2015v206n02ABEH004459 (Mi sm8307) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bishop-Runge approximations and inversion of a Riemann-Klein theorem

V. Michela, G. M. Henkinba

a Université Pierre & Marie Curie, Paris VI
b Central Economics and Mathematics Institute, RAS, Moscow
English version PDF (617 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2015v206n02ABEH004459
Abstract: In this paper we give results about projective embeddings of Riemann surfaces, smooth or nodal, which we apply to the inverse Dirichlet-to-Neumann problem and to the inversion of a Riemann-Klein theorem. To produce useful embeddings, we adapt a technique of Bishop in the open bordered case and use a Runge-type harmonic approximation theorem in the compact case.
Bibliography: 36 titles.
Keywords: Riemann surface, projective embedding. Bishop approximation, Dirichlet-to-Neumann problem, Riemann-Klein theorem.
Received: 22.11.2013 and 09.07.2014
Bibliographic databases:
Document Type: Article
UDC: 517.545+517.577+517.956.27
MSC: 32D15, 32C25, 32V15, 35R30, 58J32
Language: English
Original paper language: Russian
Citation: V. Michel, G. M. Henkin, “Bishop-Runge approximations and inversion of a Riemann-Klein theorem”, Sb. Math., 206:2 (2015), 311–332
Citation in format AMSBIB
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\paper Bishop-Runge approximations and inversion of a~Riemann-Klein theorem
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\yr 2015
\vol 206
\issue 2
\pages 311--332
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  • https://www.mathnet.ru/eng/sm/v206/i2/p149
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:498
    Russian version PDF:150
    English version PDF:33
    References:61
    First page:14
     
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