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Approximation on arcs and dendrites going to infinity in $C^n$ (extended version)

P. M. Gauthier·E. S. Zeron
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Abstract

The Stone-Weierstrass approximation theorem is extended to certain unbounded sets in $C^n$. In particular, on a locally rectifiable arc going to infinity, each continuous function can be approximated by entire functions.

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P. M. Gauthier, E. S. Zeron. 2006-07-20. Approximation on arcs and dendrites going to infinity in $C^n$ (extended version). https://arxiv.org/abs/math/0607511

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