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

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

2006-07-20

arxiv.org/abs/math/0607511v1

Morfismos (Cinvestav), 6 (2002), no. 2, pp. 1--23

Mathematics

Complex Variables

12 pages

Scientific paper

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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