Une remarque à propos de prolongements holomorphes. (A remark to holomorphic continuation) (Q1086710)

Let M denote a \(C^ 1\) hypersurface in a neighborhood \(\Omega\) of the origin in \({\mathbb{C}}^ n\), and suppose that \(\Omega\)-M is divided into two connected components \(\Omega^+\) and \(\Omega^-\). The author shows that if f is a CR function on M which admits a holomorphic extension to a certain subset of \(\Omega^+\), then f may in fact be extended holomorphically to \(\Omega^+\cap \{| z| <\epsilon \}\) for some \(\epsilon >0\).