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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Harmonic null sets and the Painlevé theorem
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by J. L. Schiff PDF
Proc. Amer. Math. Soc. 43 (1974), 171-172 Request permission

Abstract:

A less restrictive condition on an open Riemann surface than has been formerly known for a subset of the ideal boundary of a resolutive compactification to have harmonic measure zero is demonstrated. Then a generalized version of a classical theorem of Painlevé is established in this framework.
References
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 171-172
  • MSC: Primary 30A50; Secondary 31A20
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0330447-8
  • MathSciNet review: 0330447