CLOSED IDEALS IN A CONVOLUTION ALGEBRA OF HOLOMORPHIC-FUNCTIONS

被引：8

作者：

BRUCK, R ^{[1
]}

MULLER, J ^{[1
]}

机构：

[1] UNIV TRIER,FACHBEREICH 4 MATH,D-54286 TRIER,GERMANY

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1995年 / 47卷 / 05期

关键词：

D O I：

10.4153/CJM-1995-047-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the usual topological vector space H(G) of all functions holomorphic in a region G subset of 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.

引用

页码：915 / 928

页数：14

共 18 条

[1]

ARAKELYAN NU, 1985, MATH USSR SB, V52, P21

[2]

Bieberbach L., 1955, ANAL FORTSETZUNG, DOI [10.1007/978-3-662-01270-3, DOI 10.1007/978-3-662-01270-3]

[3]

Boas R. P., 1954, ENTIRE FUNCTIONS

[4]

BROOKS RM, 1964, STUD MATH, V24, P191, DOI DOI 10.4064/SM-24-2-191-210

[5]

BRUCK R, 1992, MATH ANN, V294, P421

[6]

Carlson F., 1914, THESIS UPPSALA U

[7]

HADAMARD J, 1899, ACTA MATH, V22, P55

[8]

HOMFECK B, 1976, ALGEBRA

[9]

MULER J, 1990, MITT MATH SEM GIESSE, V199, P1

[10]

Muller J., 1992, COMPLEX VARIABLES, V18, P155

← 1 2 →