Characterizations of democratic systems of translates on locally compact abelian groups

Hrvoje \v{S}iki\'c; Vjekoslav Kova\v{c}

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Characterizations of democratic systems of translates on locally compact abelian groups

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arxiv 1709.01747 v1 pith:5FP75UJZ submitted 2017-09-06 math.FA

Characterizations of democratic systems of translates on locally compact abelian groups

Vjekoslav Kova\v{c} , Hrvoje \v{S}iki\'c This is my paper

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keywords characterizationsgroupsystemstranslatesabeliancompactdemocraticlocally

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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.

Characterizations of democratic systems of translates on locally compact abelian groups

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