Abstract
In this paper we feproduce the proofs of Cousin and Poincare problems for the structure sheaf A [5] without making explicit nse of flabby sheaf theory. We conciude with a Remark in section 3.
For the Solutions of these problems we shall merely make direct appeal to a property inherent to A, i.e., sections defined in A can be extended holomorphically to the entire region of definition.
We recall the foUotving Definitions. Let Gc: C", be a region (connected öpen set), and A(G) the ring (C- Algebra) of holomorphic functions on G. Then the set A of ali convergent power series (germs) representing the elements of A(G) is called a restricted sheaf över G.
It was proved in [1 ] that A is coherent as soon as G is a region of holomorphy.
Keywords
References
- Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Abstract
References
- Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | January 1, 1981 |
| Submission Date | January 1, 1981 |
| Published in Issue | Year 1981 Volume: 30 |
Cite
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
