Abstract
Let D be a domain of C N which is a product of strictly pseudoconvex domains with C x boundaries. It is shown that a C x submanifold of the product of the boundaries is locally a peak set for Ax ([Dtilde]) if and only if it is an interpolation manifold, a manifold satisfying a condition of an extended form of the complex tangential condition of a strictly pseudoconvex domain or the cone condition of a polydisc.