HOLOMORPHIC EXTENSION OF CR-FUNCTIONS WITH SINGULARITIES ON A HYPERSURFACE

Let OMEGA be a Stein manifold of dimension n greater-than-or-equal-to 2, let G be a domain which is relatively compact in OMEGA with OMEGA\GBAR connected, and let K subset-of GBAR with K = K(OMEGA). It is shown that any CR-function f which is defined on GAMMA = partial derivative G\K extends holomorphically to G\K. A local version of this assertion is also obtained.