On the Lebesgue Decomposition of the Multidimensional Infinitely Divisible Distributions |
Received:December 02, 1980 |
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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. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1981.03.006 |
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