Abstract
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 \(R^{\infty}\) and infinite-dimensional versions of famous results of Lebesgue and Weyl are proved.
Citation
Gogi Pantsulaia. "On Uniformly Distributed Sequences of an Increasing Family of Finite Sets in Infinite-Dimensional Rectangles." Real Anal. Exchange 36 (2) 325 - 340, 2010/2011.
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