Polynomially and rationally convex sets

Abstract

On a Euclidean space of even dimension we can introduce, by a choice of complexvalued coordinate functions, zl, ..., zn, the structure of complex n-space, CL We can then associate with each compact subset, X, of our space, its polynomial convex hull in C n, denoted hull(X). By definition, hull(X) is the set o/ all p in C n which satis/y the relation