Norm convergence of nilpotent ergodic averages

Miguel N. Walsh

Type: Article

Publication Date: 2012-04-09

Citations: 102

DOI: https://doi.org/10.4007/annals.2012.175.3.15

Abstract

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.

Locations

arXiv (Cornell University) - View - PDF
LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) - View - PDF
Annals of Mathematics - View - PDF

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