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关于多维无穷可分分布的Lebesgue分解
引用本文:白志东,苏淳.关于多维无穷可分分布的Lebesgue分解[J].数学研究及应用,1981,1(3):31-34.
作者姓名:白志东  苏淳
作者单位:中国科技大学;中国科技大学
摘    要:

收稿时间:1980/12/2 0:00:00

On the Lebesgue Decomposition of the Multidimensional Infinitely Divisible Distributions
Bai Zhidong and Su Chun.On the Lebesgue Decomposition of the Multidimensional Infinitely Divisible Distributions[J].Journal of Mathematical Research with Applications,1981,1(3):31-34.
Authors:Bai Zhidong and Su Chun
Institution:University of Science and Technology of China and University of Science and Technology of China
Abstract:In this paper we have investigated and proved various Lebesgue properties of the n-dimensional quasi-distributions. 2-dimensional quasi-distributions have been classified into 5 types. It is proved among others that every 2-dimensional quasi-distribution can be expressed uniquely as a sum of 5 functions belonging to different types. Some necessary and sufficient conditions for functions belonging to each given type have been analysed in detail.
Keywords:
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