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- W2275358116 abstract "Synopsis Let S be a compact subset of the open unit disc in C. Associate to S the set Let R(X) be the uniform algebra on X generated by the rational functions which are holomorphic near X . It is shown that the spectrum of R(X) is determined in a simple wayby the potential-theoretic properties of S . In particular, the spectrum of R(X) is X if and only if the functions harmonic near S are uniformly dense in the continuous functions on S . Similar results can be obtained for other subsets of C 2 constructed from compact subsets of C ." @default.
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- W2275358116 date "1976-01-01" @default.
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- W2275358116 title "6.—Rationally Convex Hulls and Potential Theory." @default.
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- W2275358116 doi "https://doi.org/10.1017/s0308210500016565" @default.
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