WIENER'S INVERSION THEOREM FOR A CERTAIN CLASS OF *-ALGEBRAS

被引：0
|
作者：
Blendek, Tobias [1 ]
机构：
[1] Univ Hamburg, Dept Math & Stat, D-22043 Hamburg, Germany
来源：
COLLOQUIUM MATHEMATICUM | 2014年 / 137卷 / 01期
关键词：
G* -algebra; BG* -algebra; gamma S* -algebra; enveloping C* -algebra; * -regular; SPACES;
D O I：
10.4064/cm137-1-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalize Wiener's inversion theorem for Fourier transforms on closed subsets of the dual group of a locally compact abelian group to cosets of ideals in a class of non-commutative *-algebras having specified properties, which are all fulfilled in the case of the group algebra of any locally compact abelian group.
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页码：103 / 116
页数：14
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