Physics – Mathematical Physics
Scientific paper
2007-04-19
Physics
Mathematical Physics
22 pages
Scientific paper
We show equivalence of pure point diffraction and pure point dynamical spectrum for measurable dynamical systems build from locally finite measures on locally compact Abelian groups. This generalizes all earlier results of this type. Our approach is based on a study of almost periodicity in a Hilbert space. It allows us to set up a perturbation theory for arbitrary equivariant measurable perturbations.
Lenz Daniel
Strungaru Nicolae
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