局部域上谱测度的纯型性  

Law Of Pure Type of Spectral Measures on Local Fields

作　　者：买买提艾力·喀迪尔 Mamateli Kadir(School of Mathematics and Statistics, Kashgar University, Kashgar 844006, Chin)

机构地区：[1]喀什大学数学与统计学院

出　　处：《数学的实践与认识》2018年第8期245-251,共7页Mathematics in Practice and Theory

基　　金：喀什大学博士专项基金((15)2545)

摘　　要：众所周知、一个σ-有限测度μ可以唯一地分解成离散、奇异连续和绝对连续部分.考虑局部域上的谱测度的纯型性质、即若μ是局部域上的谱测度、则它只能属于上述三种类型的一种.It is well-known that a σ-finite measure μ can be decomposed uniquely as discrete, singularly continuous and absolutely continuous. In this paper, we consider the law of pure type of spectral measures on local fields in the sense that if μ is a spectral measure, then it must be the one of the above three pure types.

关 键 词：局部域 谱测度 指数函数 正交性 

分 类 号：O153.4[理学—数学]