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

Research paper by Alexander Brudnyi

Indexed on: 02 Apr '05Published on: 02 Apr '05Published in: Mathematics - Complex Variables

#### Abstract

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.