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.

引用

页码：325 / 340

页数：16

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