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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Sufficient conditions that a Peano-interior function have an extension with constant boundary values


Author: William C. Fox
Journal: Trans. Amer. Math. Soc. 90 (1959), 255-271
MSC: Primary 30.00; Secondary 54.00
MathSciNet review: 0107703
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References [Enhancements On Off] (What's this?)

  • [1] William C. Fox, The critical points of Peano-interior functions defined on $ 2$-manifolds, Trans. Amer. Math. Soc. vol. 83 (1956) pp. 338-370. MR 0084589 (18:885f)
  • [2] Marston Morse, Topological methods in the theory of functions of a complex variable, Princeton, Princeton University Press, 1947. MR 0021089 (9:20g)
  • [3] Yukanari Tôki, A topological characterization of pseudo-harmonic functions, Osaka Math. J. vol. 3 (1951) pp. 101. MR 0043278 (13:234f)
  • [4] Yukanari Tôki, and Kôichi Tarumoto, On the pseudo-harmonic functions, Osaka Math. J. vol. 7 (1955) pp. 103-107. MR 0078461 (17:1196f)
  • [5] W. Kaplan, Mathematical Reviews, 17, 1196.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1959-0107703-8
PII: S 0002-9947(1959)0107703-8
Article copyright: © Copyright 1959 American Mathematical Society