engleski

Characterizations of democratic systems of translates on locally compact abelian groups

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.] 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.

system of translates ; shift-invariant space ; democratic system ; locally compact abelian group

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