Continuous singular measures equivalent to their convolution squares
Continuous singular measures equivalent to their convolution squares
复制标题
连续奇异度量等于其卷积平方
DOI：
10.1017/s0305004100052889
复制
发表时间：
1976
影响因子：
0.8
通讯作者：
E. Hewitt
中科院分区：
文献类型：
--
作者：
G. Brown;E. Hewitt
在本文中，G表示一个局部紧的、非离散的阿贝尔群（在各种条件下），X表示G的字符群。所有术语和符号如(7)所示。测度代数M(G)是一个非常复杂的实体。我们在这里讨论M(G)中连续测度的子空间Ms(G)的一些新特性，这些子空间对哈尔测度λ是奇异的。
Throughout this paper, G will denote a locally compact, non-discrete, Abelian group (subjected to various conditions) and X wi11 denote the character group of G. All terminology and notation are as in (7). The measure algebra M(G), as is known, is a very complicated entity. We address ourselves here to some novel peculiarities of the subspace Ms(G) of continuous measures in M(G) that are singular with respect to Haar measure λ.