Carleman approximation by holomorphic automorphisms of \mathbb Cⁿ

2014/01/13 by Frank Kutzschebauch, Kutzschebauch, Frank, Erlend Fornaess Wold +1
Mathematics · #32A15 #32E30 #32H02 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32A15 #msc:32E30 #msc:32H02

paper · pdf · doi:10.48550/arxiv.1401.2842

arxiv created 2014/01/13 · arxiv updated 2014/01/14

Abstract

We approximate smooth maps defined on non-compact totally real manifolds by holomorphic automorphisms of \mathbb Cⁿ.

Related

• Approximation of biholomorphic maps between Runge domains by holomorphic automorphisms
• Approximation of holomorphic maps with a lower bound on the rank
• Approximations on certain domains of ℂⁿ
• Characterization of \bf Cⁿ by its automorphism group
• Carleman approximation by non-critical functions on Riemann surfaces