Geodesic
Pointwise convergence of nonconventional averages
I. Assani1
1 Department of Mathematics, UNC Chapel Hill, NC 27599, U.S.A.
Colloquium Mathematicum, Tome 102 (2005) no. 2, pp. 245-262

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We answer a question of H. Furstenberg on the pointwise convergence of the averages $$\frac{1}{N}\sum_{n=1}^N U^{n}(f \cdot R^{n}(g)),$$ where $U$ and $R$ are positive operators. We also study the pointwise convergence of the averages $$\frac{1}{N}\sum_{n=1}^N f(S^nx)g(R^nx)$$ when $T$ and $S$ are measure preserving transformations.
DOI : 10.4064/cm102-2-6
Keywords: answer question furstenberg pointwise convergence averages frac sum cdot where positive operators study pointwise convergence averages frac sum measure preserving transformations

I. Assani 1

1 Department of Mathematics, UNC Chapel Hill, NC 27599, U.S.A. 
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I. Assani. Pointwise convergence of nonconventional averages. Colloquium Mathematicum, Tome 102 (2005) no. 2, pp. 245-262. doi: 10.4064/cm102-2-6

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