Pure point spectrum for measure dynamical systems on locally compact Abelian groups
نویسندگان
چکیده
منابع مشابه
Pure Point Spectrum for Measure Dynamical Systems on Locally Compact Abelian Groups
We show equivalence of pure point diffraction and pure point dynamical spectrum for measurable dynamical systems built 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 pertur...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2009
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2009.05.013