Return times theorem for amenable groups

Abstract

We extend Bourgain's return times theorem to arbitrary locally compact second countable amenable groups. The proof is based on a version of the Bourgain--Furstenberg--Katznelson--Ornstein orthogonality criterion.

v2: 8 p., small corrections

Cited by in corpus (3)

• Leptin densities in amenable groups
• Cube spaces and the multiple term return times theorem
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