Norm convergence of nilpotent ergodic averages

作者：Walsh Miguel N^*

来源：Annals of Mathematics, 2012, 175(3): 1667-1688.

DOI：10.4007/annals.2012.175.3.15

We show that multiple polynomial ergodic averages arising from nilpotent groups of measure preserving transformations of a probability space always converge in the L-2 norm.

• 出版日期2012-5