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math.DS2021
A dynamical proof of the van der Corput inequality
Nikolai Edeko, Henrik Kreidler, Rainer Nagel
We provide a dynamical proof of the van der Corput inequality for sequences in Hilbert spaces that is based on the Furstenberg correspondence principle. This is done by reducing th…
math.DS2021
A Decomposition Theorem for Unitary Group Representations on Kaplansky-Hilbert Modules and the Furstenberg-Zimmer Structure Theorem
Nikolai Edeko, Markus Haase, Henrik Kreidler
In this paper, a decomposition theorem for (covariant) unitary group representations on Kaplansky-Hilbert modules over Stone algebras is established, which generalizes the well-kno…