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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 253, Pages 214–231 (Mi tm94)  
This article is cited in 3 scientific papers (total in 3 papers)

Envelopes of Holomorphy of Jordan Curves in Cn

G. M. Henkin

Université Pierre & Marie Curie, Paris VI
Full-text PDF (273 kB) Citations (3)
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Abstract: A comprehensive answer is given to two related questions: (i) Can continuous functions be approximated by holomorphic ones on Jordan curves in Cn (A. G. Vitushkin, 1964)? (ii) Is any Jordan curve in Cn holomorphically convex (E.L. Stout, 1970)?
Received in December 2005
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 253, Pages 195–211
DOI: https://doi.org/10.1134/S0081543806020167
Bibliographic databases:
UDC: 517.553
Language: Russian
Citation: G. M. Henkin, “Envelopes of Holomorphy of Jordan Curves in Cn”, Complex analysis and applications, Collected papers, Trudy Mat. Inst. Steklova, 253, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 214–231; Proc. Steklov Inst. Math., 253 (2006), 195–211
Citation in format AMSBIB
\Bibitem{Hen06}
\by G.~M.~Henkin
\paper Envelopes of Holomorphy of Jordan Curves in~$\mathbb C^n$
\inbook Complex analysis and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 253
\pages 214--231
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm94}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338698}
\zmath{https://zbmath.org/?q=an:1351.32019}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 253
\pages 195--211
\crossref{https://doi.org/10.1134/S0081543806020167}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748334323}
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  • https://www.mathnet.ru/eng/tm94
  • https://www.mathnet.ru/eng/tm/v253/p214
    • This publication is cited in the following 3 articles:
    1. Izzo A.J., “Spaces With Polynomial Hulls That Contain No Analytic Discs”, Math. Ann., 378:3-4 (2020), 829–852  crossref  mathscinet  isi
    2. Izzo A.J., “No Topological Condition Implies Equality of Polynomial and Rational Hulls”, Proc. Amer. Math. Soc., 147:12 (2019), 5195–5207  crossref  mathscinet  isi
    3. Izzo A.J., Levenberg N., “A Cantor Set Whose Polynomial Hull Contains No Analytic Discs”, Ark. Mat., 57:2 (2019), 373–379  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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