# MathSciDoc: An Archive for Mathematician ∫

#### Differential GeometryGeometric Analysis and Geometric TopologyStatistics Theory and Methodsmathscidoc:1701.10012

Arkiv for Matematik, 51, (2), 329-343, 2012.1
In this paper we consider proper holomorphic embeddings of finitely connected planar domains into ℂ^{$n$}that approximate given proper embeddings on smooth curves. As a side result we obtain a tool for approximating a $\mathcal{C}^{\infty}$ diffeomorphism on a polynomially convex set in ℂ^{$n$}by an automorphism of ℂ^{$n$}that satisfies some additional properties along a real embedded curve.
@inproceedings{irena2012proper,
title={Proper holomorphic embeddings of finitely connected planar domains into ℂ^{$n$}},
author={Irena Majcen},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203635680748045},
booktitle={Arkiv for Matematik},
volume={51},
number={2},
pages={329-343},
year={2012},
}

Irena Majcen. Proper holomorphic embeddings of finitely connected planar domains into ℂ^{$n$}. 2012. Vol. 51. In Arkiv for Matematik. pp.329-343. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203635680748045.