Mathematische Annalen

, Volume 351, Issue 3, pp 571–585

Holomorphic convexity and Carleman approximation by entire functions on Stein manifolds

  • Per Erik Manne
  • Erlend Fornæss Wold
  • Nils Øvrelid
Open Access
Article

Abstract

We give necessary and sufficient conditions for totally real sets in Stein manifolds to admit Carleman approximation of class \({\mathcal C^k}\), k ≥ 1, by entire functions.

Mathematics Subject Classification (2000)

32E20 32E30 32V40 

Copyright information

© The Author(s) 2010

Authors and Affiliations

  • Per Erik Manne
    • 1
  • Erlend Fornæss Wold
    • 2
  • Nils Øvrelid
    • 2
  1. 1.Department of Finance and Management ScienceNorwegian School of Economics and Business AdministrationBergenNorway
  2. 2.Department of MathematicsUniversity of OsloOsloNorway

Personalised recommendations