Approximation on arcs and dendrites going to infinity in $C^n$ (extended version)
Complex Variables
2007-05-23 v1 Numerical Analysis
Abstract
The Stone-Weierstrass approximation theorem is extended to certain unbounded sets in . In particular, on a locally rectifiable arc going to infinity, each continuous function can be approximated by entire functions.
Cite
@article{arxiv.math/0607511,
title = {Approximation on arcs and dendrites going to infinity in $C^n$ (extended version)},
author = {P. M. Gauthier and E. S. Zeron},
journal= {arXiv preprint arXiv:math/0607511},
year = {2007}
}
Comments
12 pages