Pointwise convergence of nonconventional averages

@article{I2005,
abstract = {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.},
author = {I. Assani},
journal = {Colloquium Mathematicae},
keywords = {nonconventional averages; Kronecker factor},
language = {eng},
number = {2},
pages = {245-262},
title = {Pointwise convergence of nonconventional averages},
url = {http://eudml.org/doc/283815},
volume = {102},
year = {2005},
}

TY - JOUR
AU - I. Assani
TI - Pointwise convergence of nonconventional averages
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 2
SP - 245
EP - 262
AB - 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.
LA - eng
KW - nonconventional averages; Kronecker factor
UR - http://eudml.org/doc/283815
ER -