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arXiv · 1709.01747

Characterizations of democratic systems of translates on locally compact abelian groups

Vjekoslav Kovač·Hrvoje Šikić
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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.

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Vjekoslav Kovač, Hrvoje Šikić. 2017-09-06. Characterizations of democratic systems of translates on locally compact abelian groups. https://doi.org/10.1007/s00605-019-01285-7

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