Sufficient conditions that a Peano-interior function have an extension with constant boundary values
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- by William C. Fox PDF
- Trans. Amer. Math. Soc. 90 (1959), 255-271 Request permission
References
- William C. Fox, The critical points of Peano-interior functions defined on $2$-manifolds, Trans. Amer. Math. Soc. 83 (1956), 338–370. MR 84589, DOI 10.1090/S0002-9947-1956-0084589-9
- Marston Morse, Topological Methods in the Theory of Functions of a Complex Variable, Annals of Mathematics Studies, No. 15, Princeton University Press, Princeton, N. J., 1947. MR 0021089
- Yukinari Tôki, A topological characterization of pseudo-harmonic functions, Osaka Math. J. 3 (1951), 101–122. MR 43278
- Yukinari Tôki and Kôichi Tarumoto, On the pseudo-harmonic functions, Osaka Math. J. 7 (1955), 103–107. MR 78461 W. Kaplan, Mathematical Reviews, 17, 1196.
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 90 (1959), 255-271
- MSC: Primary 30.00; Secondary 54.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0107703-8
- MathSciNet review: 0107703