INVARIANT HOLOMORPHICALLY CONVEX-HULL

A result of A. Sadullaev [6], used in the potential theory, says that the polynomial hull of a circled compact set in C-n coincides with its convex hull with respect to homomorphic homogenous polynomials. We gi ve a natural generalization of this result to invariant compact sets i n complex spaces under the action of a compact Lie group of homomorphi c transformations. (C) Academie des Sciences/Elsevier, Paris.