Characterizations of democratic systems of translates on locally compact abelian groups
Functional Analysis
2019-07-12 v1
Abstract
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 [11] 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.
Keywords
Cite
@article{arxiv.1709.01747,
title = {Characterizations of democratic systems of translates on locally compact abelian groups},
author = {Vjekoslav Kovač and Hrvoje Šikić},
journal= {arXiv preprint arXiv:1709.01747},
year = {2019}
}
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16 pages