Abstract
Introduction. This paper consists for the main part of a proof of a result in the theory of several complex variables that was obtained as an essential link in a study of the classification of homogeneous Banach algebras on compact abelian groups. (For applications of the result, see [3] and [4].) Let X be a compact subset of Cn, the space of n-complex variables. Cp(X) will denote the set of all points y in Cn that satisfy for each polynomial f
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