Integral Representations of Holomorphic Functions on Coverings of Pseudoconvex Domains in Stein Manifolds

Details Integral Representations of Holomorphic Functions on Coverings of Pseudoconvex Domains in Stein Manifolds Integral Representations of Holomorphic Functions on Coverings of Pseudoconvex Domains in Stein Manifolds

2005-04-02

arxiv.org/abs/math/0504038v1

Mathematics

Complex Variables

18 pages

Scientific paper

The classical integral representation formulas for holomorphic functions
defined on pseudoconvex domains in Stein manifolds play an important role in
the constructive theory of functions of several complex variables. In this
paper we construct similar formulas for cetain classes of holomorphic functions
defined on coverings of such domains.

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