English

H-Regular Borel measures on locally compact abelian groups

Functional Analysis 2017-09-12 v1

Abstract

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

Keywords

Cite

@article{arxiv.1709.02849,
  title  = {H-Regular Borel measures on locally compact abelian groups},
  author = {Lutz Peter Klotz and Juan Miguel Medina},
  journal= {arXiv preprint arXiv:1709.02849},
  year   = {2017}
}
R2 v1 2026-06-22T21:37:40.465Z