Pointwise convergence of nonconventional averages
I. Assani
Colloquium Mathematicae, Tome 103 (2005), p. 245-262 / Harvested from The Polish Digital Mathematics Library
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We answer a question of H. Furstenberg on the pointwise convergence of the averages 1/N∑n=1NUⁿ(f·Rⁿ(g)), where U and R are positive operators. We also study the pointwise convergence of the averages 1/N∑n=1Nf(Sⁿx)g(Rⁿx) when T and S are measure preserving transformations.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:283815 
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I. Assani. Pointwise convergence of nonconventional averages. Colloquium Mathematicae, Tome 103 (2005) pp. 245-262. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-2-6/