On weakly almost periodic measures

@article{Lenz2016OnWA,
  title={On weakly almost periodic measures},
  author={D. Lenz and Nicolae Strungaru},
  journal={Transactions of the American Mathematical Society},
  year={2016},
  volume={371},
  pages={6843-6881}
}
  • D. Lenz, Nicolae Strungaru
  • Published 2016
  • Mathematics
  • Transactions of the American Mathematical Society
  • We study the diffraction and dynamical properties of translation bounded weakly almost periodic measures. We prove that the dynamical hull of a weakly almost periodic measure is a weakly almost periodic dynamical system with unique minimal component given by the hull of the strongly almost periodic component of the measure. In particular the hull is minimal if and only if the measure is strongly almost periodic and the hull is always measurably conjugate to a torus and has pure point spectrum… CONTINUE READING

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