Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Positive length but zero analytic capacity
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by John Garnett
Proc. Amer. Math. Soc. 26 (1970), 696-699
DOI: https://doi.org/10.1090/S0002-9939-1970-0276456-5
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References
  • Arnaud Denjoy, Sur la continuité des fonctions analytiques singulières, Bull. Soc. Math. France 60 (1932), 27–105 (French). MR 1504984
  • L. D. Ivanov, On Denjoy’s conjecture, Uspehi Mat. Nauk 18 (1963), no. 4 (112), 147–149 (Russian). MR 0156995
  • A. G. Vituškin, Example of a set of positive length but of zero analytic capacity, Dokl. Akad. Nauk SSSR 127 (1959), 246–249 (Russian). MR 0118838
  • Lawrence Zalcmann, Analytic capacity and rational approximation, Lecture Notes in Mathematics, No. 50, Springer-Verlag, Berlin-New York, 1968. MR 0227434
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 26 (1970), 696-699
  • MSC: Primary 30.41
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0276456-5
  • MathSciNet review: 0276456