Closed Ideals in a Convolution Algebra of Holomorphic Functions-Reference-Cited by-同舟云学术

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Closed Ideals in a Convolution Algebra of Holomorphic Functions

Published:1995-10-01 Issue:5 Volume:47 Page:915-928
ISSN:0008-414X
Container-title:Canadian Journal of Mathematics
language:en
Short-container-title:Can. j. math.

Author:

Brück Rainer,Müller Jürgen

Abstract

AbstractWe 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Hadamard multiplication theorem in ℂ ⁿ;Complex Variables and Elliptic Equations;2024-07-30

2. Multipliers on Spaces of Holomorphic Functions;Complex Analysis and Operator Theory;2023-08-03

3. The *-product of domains in several complex variables;Complex Variables and Elliptic Equations;2022-08-10

4. The Hadamard multiplication theorem in several complex variables;Complex Variables and Elliptic Equations;2016-07-03

5. Hadamard multipliers on spaces of real analytic functions;Advances in Mathematics;2013-06

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