Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains

被引:12
|
作者
Brudnyi, A [1 ]
机构
[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
covering; integral formula; strongly pseudoconvex set;
D O I
10.1016/j.jfa.2005.06.004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The classical integral representation formulas for holomorphic functions defined on pseudo-convex domains in Stein manifolds play an important role in the constructive theory of functions of several complex variables. In this paper, we will show how to construct similar formulas for certain classes of holomorphic functions defined on coverings of such domains. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:418 / 437
页数:20
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