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An elementary approach to Haar integration and Pontryagin duality in locally compact abelian groupsDikranjan, 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.Source: ICTA 2009 (Str. 1942-1961)Type of material - conference contributionPublish date - 2011Language - englishCOBISS.SI-ID - 15964761
Author
Dikranjan, Dikran N., 1950- |
Stoyanov, Luchezar N., 1954-
Topics
matematika |
algebra |
topološka grupa |
lokalno kompaktna Abelova grupa |
Haarov integral |
Pomtryaginova dualnost |
Peter-Weylov izrek |
skoraj periodične funkcije |
Bohr-von Neumannov izrek |
Følnerjev izrek |
mathematics |
algebra |
topological group |
locally compact abelian group |
Haar integral |
Pontryagin duality |
Peter-Weyl theorem |
almost periodic function |
Bohr-von Neumann theorem |
Følner theorem
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Dikranjan, Dikran N., 1950- | 28252 |
Stoyanov, Luchezar N., 1954- | ![]() |
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