Аннотация:Let M be a nonspherical (locally not equivalent to a quadric) real-analytic hypersurface in C z, where n~ 2, possessing at all points a nondegenerate Levi form, and let~ be the stability group of M (the group of biholomorphic automorphisms of M, each of which is defined in a neighborhood of the point 0 e M and leaves this point fixed).By a theorem of Bochner, in the case where the group $ is compact, this group is linearizable, ie, in suitable local coordinates, all of its elements can be written as linear transformations. For strictly pseudoconvex hypersurfaces, compactness of the stability group has been proved by AG Vitushkin