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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 235, Pages 157–164 (Mi tm241)  
This article is cited in 4 scientific papers (total in 4 papers)

Saga of the Painlevé Problem and Analytic Capacity

M. S. Mel'nikov
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Abstract: This note consists of two sections. The first one gives an account of an intriguing and dramatic story of solving (not completely) the so-called Painlevé problem that consists in describing the set of removable singularities for bounded holomorphic functions. In view of this, I indulge in proposing some reminiscences about bygone events. The second section gives yet another elementary proof of the Denjoy conjecture, which is a part of the Painlevé problem.
Received in April 2001
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: M. S. Mel'nikov, “Saga of the Painlevé Problem and Analytic Capacity”, Analytic and geometric issues of complex analysis, Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin, Trudy Mat. Inst. Steklova, 235, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 157–164; Proc. Steklov Inst. Math., 235 (2001), 150–157
Citation in format AMSBIB
\Bibitem{Mel01}
\by M.~S.~Mel'nikov
\paper Saga of the Painlev\'e Problem and Analytic Capacity
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 235
\pages 157--164
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886580}
\zmath{https://zbmath.org/?q=an:1003.30019}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 235
\pages 150--157
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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