Pointwise convergence of nonconventional averages

• Autorzy: I. Assani
• Języki publikacji: EN

Abstrakty

EN

We answer a question of H. Furstenberg on the pointwise convergence of the averages
$1/N ∑_{n=1}^{N} Uⁿ(f·Rⁿ(g))$,
where U and R are positive operators. We also study the pointwise convergence of the averages
$1/N ∑_{n=1}^{N} f(Sⁿx)g(Rⁿx)$
when T and S are measure preserving transformations.

Kategorie tematyczne

• 47A35: Ergodic theory
• 37A30: Ergodic theorems, spectral theory, Markov operators
• 37A05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 2
• Strony: 245-262

Daty

wydano

2005

Twórcy

autor

I. Assani

• Department of Mathematics, UNC, Chapel Hill, NC 27599, U.S.A.

Identyfikatory

DOI

10.4064/cm102-2-6