Topology of level curves of harmonic functions
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- by Wilfred Kaplan
- Trans. Amer. Math. Soc. 63 (1948), 514-522
- DOI: https://doi.org/10.1090/S0002-9947-1948-0025159-3
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References
- Wilfred Kaplan, Regular curve-families filling the plane, I, Duke Math. J. 7 (1940), 154–185. MR 4116
- Wilfred Kaplan, Regular curve-families filling the plane, II, Duke Math. J. 8 (1941), 11–46. MR 4117
- Wilfred Kaplan, The structure of a curve-family on a surface in the neighborhood of an isolated singularity, Amer. J. Math. 64 (1942), 1–35. MR 5338, DOI 10.2307/2371666
- Wilfred Kaplan, Differentiability of regular curve families on the sphere, Lectures in Topology, University of Michigan Press, Ann Arbor, Mich., 1941, pp. 299–301. MR 0005311 R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936. S. Stoïlow, Leçons sur les principes topologique de la théorie des fonctions analytiques, Paris, 1938.
- Hassler Whitney, Regular families of curves, Ann. of Math. (2) 34 (1933), no. 2, 244–270. MR 1503106, DOI 10.2307/1968202
Bibliographic Information
- © Copyright 1948 American Mathematical Society
- 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