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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Geometric conditions for interpolation

Authors: C. L. Belna, S. A. Obaid and D. C. Rung
Journal: Proc. Amer. Math. Soc. 88 (1983), 469-475
MSC: Primary 30E05; Secondary 30D55
MathSciNet review: 699416
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Abstract: Let $ \left\{ {{z_n}} \right\}$ be a sequence lying in either the upper half-plane or the unit disc in the complex plane. If $ \left\{ {{z_n}} \right\}$ is a separated sequence we give a simple geometric condition that implies the sequence is an interpolating sequence for the algebra of bounded holomorphic functions. This result contains most of the known results of this type.

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PII: S 0002-9939(1983)0699416-8
Article copyright: © Copyright 1983 American Mathematical Society