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Analytic Functions on Some Riemann Surfaces

Published online by Cambridge University Press:  22 January 2016

Nobushige Toda
Affiliation:
Mathematical Institute, Nagoya University
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Some years ago, Kuramochi gave in his paper [5] a very interesting theorem, which can be stated as follows.

THEOREM OF KURAMOCHI. Let R be a hyperbolic Riemann surface of the class Of OHR(OHD,resp.). Then, for any compact subset K of R such that R—K is connected, R—K as an open Riemann surface belongs to the class 0AB(OAD resp.).

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Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1963