Convolution operators on spaces of holomorphic functions

被引：1
|
作者：
Lorson, Tobias [1 ]
Mueller, Juergen [1 ]
机构：
[1] Univ Trier, FB 4, Math, D-54286 Trier, Germany
来源：
STUDIA MATHEMATICA | 2015年 / 227卷 / 02期
关键词：
convolution operators; Euler differential operators; Hadamard multiplication theorem; REAL ANALYTIC-FUNCTIONS; HADAMARD PRODUCT; MULTIPLIERS; ALGEBRAS;
D O I：
10.4064/sm227-2-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A class of convolution operators on spaces of holomorphic functions related to the Hadamard multiplication theorem for power series and generalizing infinite order Euler differential operators is introduced and investigated. Emphasis is placed on questions concerning injectivity, denseness of range and surjectivity of the operators.
引用
收藏
页码：111 / 131
页数：21
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