Journal of the
Korean Mathematical Society JKMS

We prove that the germ of a CR mapping $f$ between real analytic real hypersurfaces has a holomorphic extension and satisfies a complete system of finite order if the source is of finite type in the sense of Bloom-Graham and the target is $k$-nondegenerate under certain generic assumptions on $f$.

Keywords: Cauchy-Riemann mapping, complete system, holomorphic extension

MSC numbers: 32V10