Dynamical Systems on Translation Bounded Measures : Pure Point Dynamical and Diffraction Spectra

@inproceedings{Baake2003DynamicalSO,
  title={Dynamical Systems on Translation Bounded Measures : Pure Point Dynamical and Diffraction Spectra},
  author={Michael Baake and Daniel Lenz},
  year={2003}
}
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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