Bounded pointwise approximation on open Riemann surfaces

André Boivin and Baoguo Jiang

A characterization of those open sets U on an open Riemann surface for which A(U) is pointwise boundedly dense in H(U) is obtained, thus generalizing to Riemann surfaces results of T. W. Gamelin and J. Garnett.

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Analysis is devoted to the field of mathematical analysis, in particular classical analysis and its applications. Its aim is to publish the best research articles within the scope of the journal, as well as to boost the cooperation between scholars.

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