CLOSED IDEALS IN A CONVOLUTION ALGEBRA OF HOLOMORPHIC-FUNCTIONS

Authors
BRUCK R MULLER J
Citation
R. Bruck et J. Muller, CLOSED IDEALS IN A CONVOLUTION ALGEBRA OF HOLOMORPHIC-FUNCTIONS, Canadian journal of mathematics, 47(5), 1995, pp. 915-928
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
47
Issue
5
Year of publication
1995
Pages
915 - 928
Database
ISI
SICI code
0008-414X(1995)47:5<915:CIIACA>2.0.ZU;2-U
Abstract
We consider the usual topological vector space H(G) of all functions h olomorphic in a region G subset of C. If G satisfies certain condition s, it is possible to introduce the Hadamard product as multiplication in H(G), and then H(G) turns out to be a commutative topological algeb ra. In [5] we characterized the invertible elements in H(G), and the a im of this paper is to study the closed ideals and some further questi ons.