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A general Rudin-Carleson theorem

A general Rudin-Carleson theorem

which is analytic on D -L such that F(z) =f(z) for all z in S. It is the purpose of this paper to generalize this theoren'r- Before stating the generalization, we remark that the Rudin-Carleson theorem is closely related to a theorem of F. and M. Riesz, which states that …