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Polynomially and rationally convex sets

1963/01/01 by Gabriel Stolzenberg · 2 citations
Computer Science · #Optimization and Variational Analysis

paper · pdf · doi:10.1007/bf02391815

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

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