An extension of Runge’s theorem
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- by L. A. Rubel
- Proc. Amer. Math. Soc. 47 (1975), 261-262
- DOI: https://doi.org/10.1090/S0002-9939-1975-0357806-2
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Abstract:
Every uniformly continuously differentiable function on the compact set $X$ in the complex plane is the uniform limit of rational functions with poles off $X$.References
- Andrew Browder, Introduction to function algebras, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0246125
- Hassler Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36 (1934), no. 1, 63–89. MR 1501735, DOI 10.1090/S0002-9947-1934-1501735-3
Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 261-262
- MSC: Primary 30A82
- DOI: https://doi.org/10.1090/S0002-9939-1975-0357806-2
- MathSciNet review: 0357806