# 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.

## One Citation

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We present a survey of research on orbits of unitary representations developed under the guidance and leadership of Guido Weiss in the last 20 years. This line of research started via the study of…

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