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
关于多维无穷可分分布的Lebesgue分解
On the Lebesgue Decomposition of the Multidimensional Infinitely Divisible Distributions
投稿时间:1980-12-02  
DOI:10.3770/j.issn:1000-341X.1981.03.006
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白志东 中国科技大学 
苏淳 中国科技大学 
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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.
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