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Journal of the London Mathematical Society 1975 s2-11(2):159-164; doi:10.1112/jlms/s2-11.2.159
© 1975 by London Mathematical Society
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© Oxford University Press

Lip 1 Rational Approximation

Anthony G. O'Farrell{dagger}

University of California Los Angeles

Let X be a compact subset of the complex plane C. We prove that every C1 function is the limit in Lip (1, X) norm of a sequence of rational functions if and only if X is a subset of a finite union of disjoint simple C1 curves.

{dagger}Supported by NSF GP 33693X.


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