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

Research paper by Alexander Brudnyi

Indexed on: 20 Mar '05Published on: 20 Mar '05Published in: Mathematics - Complex Variables



Abstract

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.