中文

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

复变函数 2007-05-23 v1 数值分析

摘要

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

关键词

引用

@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}
}

备注

12 pages