局部紧的阿贝尔群上谱测度的几何结构  

Geometric structures of the spectral measures on LCA groups

作　　者：买买提艾力·喀迪尔 范琼 阿里米热·阿布拉[1] KADIR Mamateli;FAN Qiong;ABLA Almire(School of Mathematics and Statistics,Kashi University,Kashi,844000,China;School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000 [2]华中师范大学数学与统计学学院,湖北武汉430079

出　　处：《东北师大学报（自然科学版）》2022年第2期11-15,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：新疆维吾尔自治区自然科学基金资助项目(2020D01A09);新疆维吾尔自治区高校科研计划项目(XJEDU2018Y037)。

摘　　要：研究了局部紧的阿贝尔群G上测度的谱性质与其卷积测度的谱性质之间的关系,同时研究了G上的谱测度的几何结构.The relationships between the spectrality of two measures and the spectrality of their convolution measures are studied, as well as the geometric structures of the spectral measures on G.

关 键 词：局部紧的阿贝尔群 谱测度 卷积测度 凸集 

分 类 号：O174.2[理学—数学]