Polynomially and rationally convex sets

Gabriel Stolzenberg · Acta Mathematica · 1963

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

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