Pointwise characteristic factors for the multiterm return times theorem

Details Pointwise characteristic factors for the multiterm return times theorem Pointwise characteristic factors for the multiterm return times theorem

2010-12-14

arxiv.org/abs/1012.3132v2

Mathematics

Dynamical Systems

31 pages Submitted and Accepted to ETDS Dan Rudolph Memorial Volume. This version is the final accepted copy and includes all

Scientific paper

This paper is an update and extension of a result the authors first proved in
2003. The goal of this paper is to study factors which are known to be
L^2-characteristic for certain nonconventional averages and prove that these
factors are pointwise characteristic for the multidimensional return times
averages.

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