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Transactions of the American Mathematical Society

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Topology of level curves of harmonic functions


Author: Wilfred Kaplan
Journal: Trans. Amer. Math. Soc. 63 (1948), 514-522
MSC: Primary 56.0X
DOI: https://doi.org/10.1090/S0002-9947-1948-0025159-3
MathSciNet review: 0025159
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References [Enhancements On Off] (What's this?)

  • [1] W. Kaplan, Regular curve-families filling the plane, I, Duke Math. J. vol. 7 (1940) pp. 154-185. MR 0004116 (2:322c)
  • [2] -, Regular curve-families filling the plane, II, Duke Math. J. vol. 8 (1941) pp. 11-46. MR 0004117 (2:322d)
  • [3] -, The structure of a curve-family on a surface in the neighborhood of an isolated singularity, Amer. J. Math. vol. 64 (1942) pp. 1-35. MR 0005338 (3:140a)
  • [4] -, Differentiability of regular curve-families on the sphere, Lectures in Topology, Ann Arbor, 1941, pp. 299-301. MR 0005311 (3:135d)
  • [5] R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936.
  • [6] S. Stoïlow, Leçons sur les principes topologique de la théorie des fonctions analytiques, Paris, 1938.
  • [7] H. Whitney, Regular families of curves, Ann. of Math. (2) vol. 34 (1933) pp. 244-270. MR 1503106

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DOI: https://doi.org/10.1090/S0002-9947-1948-0025159-3
Article copyright: © Copyright 1948 American Mathematical Society

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