Thin discs and a Morera theorem for CR functions
The author proves a version of the Morera theorem for continuous functions on a real submanifold \(M\) of higher codimension in \(\mathbb{C}^n\). Precisely, assume that for all analytic discs \(\Delta\) attached to \(M\) (i.e. \(\partial\Delta \subset M)f|_{\partial \Delta}\) extends holomorphically inside \(\Delta\). Then \(f\) is CR on \(M\).
scientific article; zbMATH DE number 1096022