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arXiv · 1709.02849

H-Regular Borel measures on locally compact abelian groups

Lutz Peter Klotz·Juan Miguel Medina
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Abstract

Let $G$ be an LCA group, $H$ a closed subgroup, $\varGamma$ the dual group of $G$. In accordance with analogous notions in prediction theory the classes of $H$-regular and $H$-singular Borel measures on $\Gamma$ are defined. A characterization of $H$-regular measures is given and a Wold type decomposition is obtained.

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Lutz Peter Klotz, Juan Miguel Medina. 2017-09-08. H-Regular Borel measures on locally compact abelian groups. https://arxiv.org/abs/1709.02849

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