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arxiv: math/0503408 · v1 · submitted 2005-03-21 · 🧮 math.CV · math.FA

Holomorphic Functions of Slow Growth on Coverings of Pseudoconvex Domains in Stein Manifolds

classification 🧮 math.CV math.FA
keywords coveringsmanifoldsfunctionsholomorphicpseudoconvexsteindomainsgrowth
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We apply the methods developed in [Br1] to study holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds. In particular, we extend and strengthen certain results of Gromov, Henkin and Shubin [GHS] on holomorphic L^{2} functions on coverings of pseudoconvex manifolds in the case of coverings of Stein manifolds.

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