Mathematische Annalen

, Volume 351, Issue 3, pp 571-585

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Holomorphic convexity and Carleman approximation by entire functions on Stein manifolds

  • Per Erik ManneAffiliated withDepartment of Finance and Management Science, Norwegian School of Economics and Business Administration Email author 
  • , Erlend Fornæss WoldAffiliated withDepartment of Mathematics, University of Oslo
  • , Nils ØvrelidAffiliated withDepartment of Mathematics, University of Oslo


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