Norm convergence of nilpotent ergodic averages

• 成果类型: Article
• 署名作者: Walsh, Miguel N.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.3.15
• 发表日期: 2012
• 页码: 1667-1688
• 关键词: commuting transformations; THEOREM

摘要

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.