Characterizations of democratic systems of translates on locally compact abelian groups (Q2003534)
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| English | Characterizations of democratic systems of translates on locally compact abelian groups |
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Characterizations of democratic systems of translates on locally compact abelian groups (English)
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9 July 2019
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Characterizations of the democratic property for systems of translates on a general locally compact abelian group, along a lattice in that group, are presented. The authors prove a generalization of some results from [\textit{E. Hernández} et al., J. Approx. Theory 171, 105--127 (2013; Zbl 1290.41023)]. Examples and counterexamples for lattices with torsion group structure are considered.
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system of translates
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shift-invariant space
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democratic system
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locally compact abelian group
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