Characterizations of democratic systems of translates on locally compact abelian groups

@article{Kova2019CharacterizationsOD,
  title={Characterizations of democratic systems of translates on locally compact abelian groups},
  author={Vjekoslav Kova{\vc} and Hrvoje {\vS}iki{\'c}},
  journal={Monatshefte f{\"u}r Mathematik},
  year={2019},
  volume={189},
  pages={459-485}
}
We present characterizations of democratic property for systems of translates on a general locally compact abelian group, along a lattice in that group.. That way we generalize the results from Hernández et al. (J Approx Theory 171:105–127, 2013) on systems of integer translates. Furthermore, we investigate the possibilities of more operative characterizations for lattices with torsion group structure, mainly through examples and counterexamples. 
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