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  • An elementary approach to Haar integration and Pontryagin duality in locally compact abelian groups
    Dikranjan, Dikran N., 1950- ; Stoyanov, Luchezar N., 1954-
    We offer an elementary proof of Pontryagin duality theorem for compact and discrete abelian groups. To this end we make use of an elementary proof of Peter-Weyl theorem due to Prodanov that makes no ... recourse to Haar integral. As a long series of applications of this approach we obtain proofs of Bohr-von Neumann's theorem on almost periodic functions, Comfort-Ross' theorem on the description of the precompact topologies on abelian groups, and, last but not least, the existence of Haar integral in LCA groups.
    Vir: ICTA 2009 (Str. 1942-1961)
    Vrsta gradiva - prispevek na konferenci
    Leto - 2011
    Jezik - angleški
    COBISS.SI-ID - 15964761

vir: ICTA 2009 (Str. 1942-1961)

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