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 Hern�ndez 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.
locally compact abelian group, along a lattice in that group.. That way we generalize the
results from Hern�ndez 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.
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 Hern�ndez 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.
Springer