On recursive decompositions of measures

被引：1
|
作者：
Lukashenko, T. P. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2012年 / 91卷 / 5-6期
基金：
俄罗斯基础研究基金会;
关键词：
recursive decomposition of a complex measure; convergence of a recursive series; Lebesgue measure; Radon-Nikodym theorem; absolutely continuous measure;
D O I：
10.1134/S0001434612050082
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recursive decompositions of a complex measure relative to a nonnegative measure are considered and properties of the decompositions and conditions for convergence are established.
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页码：671 / 679
页数：9
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