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- W4385775051 abstract "We establish a connection between two variants of van der Corput's Difference Theorem (vdCDT) for second countable amenable groups $G$ and the ergodic hierarchy of mixing properties of a unitary representation $U$ of $G$. In particular, we show that one variant of vdCDT corresponds to subrepresentations of the left regular representation, and another variant of vdCDT corresponds to the absence of finite dimensional subrepresentations. We then obtain applications for measure preserving actions of countable abelian groups." @default.
- W4385775051 created "2023-08-12" @default.
- W4385775051 creator A5001105078 @default.
- W4385775051 date "2023-08-10" @default.
- W4385775051 modified "2023-09-27" @default.
- W4385775051 title "Van der Corput's difference theorem for amenable groups and the left regular representation" @default.
- W4385775051 doi "https://doi.org/10.48550/arxiv.2308.05560" @default.
- W4385775051 hasPublicationYear "2023" @default.
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