关于多维无穷可分分布的Lebesgue分解

On the Lebesgue Decomposition of the Multidimensional Infinitely Divisible Distributions

中文摘要:

      

英文摘要:

      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.