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Corona Theorem for $H^{\infty}$ on Coverings of Riemann Surfaces of Finite Type

Alexander Brudnyi
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Abstract

In this paper continuing our work started in our earlier papers we prove the corona theorem for the algebra of bounded holomorphic functions defined on an unbranched covering of a Caratheodory hyperbolic Riemann surface of finite type.

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Alexander Brudnyi. 2007-02-26. Corona Theorem for $H^{\infty}$ on Coverings of Riemann Surfaces of Finite Type. https://arxiv.org/abs/math/0702801

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