Carleman approximation by holomorphic automorphisms of $\mathbb C^n$

TL;DR

This paper demonstrates how smooth maps on non-compact totally real manifolds can be approximated by holomorphic automorphisms of complex n-space, advancing methods in complex analysis.

Contribution

It introduces a new approximation technique for smooth maps on non-compact totally real manifolds using holomorphic automorphisms of ^n.

Findings

Successful approximation of smooth maps by holomorphic automorphisms

Extension of Carleman approximation techniques to complex automorphisms

Potential applications in complex geometry and analysis

Abstract

We approximate smooth maps defined on non-compact totally real manifolds by holomorphic automorphisms of $\mathbb C^n$.