Sur l'extension des fonctions CR dans une variété de Stein. (On the extension of CR functions in Stein manifolds) (Q1103755)

The author uses global integral formulas obtained by Henkin and Leiterer for a domain \(\Omega\) in a Stein manifold to prove an extendability result for CR functions from a subset U of the boundary of \(\Omega\). One interesting feature of this work is that there are no explicit hypotheses about Levi pseudoconvexity of the boundary. Instead the hypotheses are about the hull of holomorphy of \(\partial \Omega \setminus U\).