Holomorphic extension of CR-functions with singularities on a hypersurface

Let $\Omega$ be a Stein manifold of dimension $n\geqslant 2$, let $G$ be a domain which is relatively compact in $\Omega$ with $\Omega\setminus\overline G$ connected, and let $K\subset\overline G$ with $K=\widehat K_\Omega$. It is shown that any CR-function $f$ which is defined on $\Gamma=\partial G\setminus K$ extends holomorphically to $G\setminus K$. A local version of this assertion is also obtained.