H-Regular Borel measures on locally compact abelian groups

2017/09/08 by Lutz Klotz, Klotz, Lutz Peter, Juan Miguel Medina +1
Mathematics · #Advanced Topology and Set Theory #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1709.02849

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 Γ are defined. A characterization of H-regular measures is given and a Wold type decomposition is obtained.

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