ON UNIFORMLY DISTRIBUTED SEQUENCES OF AN INCREASING FAMILY OF FINITE SETS IN INFINITE-DIMENSIONAL RECTANGLES

被引：0
|
作者：
Pantsulaia, Gogi [1 ,2 ]
机构：
[1] Georgian Tech Univ, Dept Math, Tbilisi 0175, Georgia
[2] Tbilisi State Univ, I Vekua Inst Appl Math, Tbilisi 0143, Georgia
来源：
REAL ANALYSIS EXCHANGE | 2010年 / 36卷 / 02期
关键词：
infinite-dimensional Lebesgue measure; Riemann integral; uniformly distributed sequences;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The concepts of uniformly distributed sequences of an increasing family of finite sets and Riemann integrability are considered in terms of the "Lebesgue measure" on infinite-dimensional rectangles in R-infinity and infinite-dimensional versions of famous results of Lebesgue and Weyl are proved.
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页码：325 / 340
页数：16
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