Characterizations of democratic systems of translates on locally compact abelian groups (Q2003534)

From MaRDI portal
scientific article
Language Label Description Also known as
English
Characterizations of democratic systems of translates on locally compact abelian groups
scientific article

    Statements

    Characterizations of democratic systems of translates on locally compact abelian groups (English)
    0 references
    0 references
    0 references
    9 July 2019
    0 references
    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.
    0 references
    0 references
    system of translates
    0 references
    shift-invariant space
    0 references
    democratic system
    0 references
    locally compact abelian group
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references