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Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

Michael Baake·Daniel Lenz
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Abstract

Certain topological dynamical systems are considered that arise from actions of $σ$-compact locally compact Abelian groups on compact spaces of translation bounded measures. Such a measure dynamical system is shown to have pure point dynamical spectrum if and only if its diffraction spectrum is pure point.

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Michael Baake, Daniel Lenz. 2004-04-07. Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra. https://doi.org/10.1017/s0143385704000318

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