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Closed Ideals in a Convolution Algebra of Holomorphic Functions

Published online by Cambridge University Press:  20 November 2018

Rainer Brück  and
Jürgen Müller
Rainer Brück
Affiliation:
Mathematisches Institut, Justus-Liebig- Universität Gieβen, Arndtstraβe,2 D-35392 Gieβen, Germany e-mail: rainer.brueck@math.uni-giessen.de
Jürgen Müller
Affiliation:
Fachbereich IV, Mathematik, Universität Trier, D-54286 Trier, Germany e-mail: jmueller@mapc64. uni-trier.de
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Abstract

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We consider the usual topological vector space H(G) of all functions holomorphic in a region G ⊂ ℂ. If G satisfies certain conditions, it is possible to introduce the Hadamard product as multiplication in H(G), and then H(G) turns out to be a commutative topological algebra. In [5] we characterized the invertible elements in H(G), and the aim of this paper is to study the closed ideals and some further questions.

Keywords

30B1046J99
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 5 , 01 October 1995 , pp. 915 - 928
Copyright
Copyright © Canadian Mathematical Society 1995

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