# BOUNDED HOLOMORPHIC FUNCTIONS ON FINITE RIEMANN SURFACES

@inproceedings{STOUTi2010BOUNDEDHF, title={BOUNDED HOLOMORPHIC FUNCTIONS ON FINITE RIEMANN SURFACES}, author={E. L. STOUTi}, year={2010} }

In §2, we use this theorem to establish an analogous result in the setting of finite open Riemann surfaces. §§3 and 4 consider certain questions which arise naturally in the course of the proof of this generalization. We mention that the chief result of §2, Theorem 2.6, has been obtained independently by N. L. Ailing [3] who has used methods more highly algebraic than ours. The second matter we shall be concerned with is that of interpolation. If R is a Riemann surface and if £ is a subset of R… Expand

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