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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1361–1368 (Mi smj1924)  
This article is cited in 2 scientific papers (total in 2 papers)

The duality theorem for locally compact Abelian $n$-groups

V. V. Mukhina, D. V. Sergeevab

a Cherepovets State University
b Vologda State Pedagogical University
Full-text PDF (297 kB) Citations (2)
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Abstract: We obtain a generalization of the Pontryagin–Van Campen theorem to the case of locally compact topological $n$-groups. We also consider the convolutions of measures and the Fourier transform on locally compact topological $n$-groups.
Keywords: character, $n$-group, $n$-semigroup, topology, measure.
Received: 19.05.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 1085–1090
DOI: https://doi.org/10.1007/s11202-008-0104-y
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: V. V. Mukhin, D. V. Sergeeva, “The duality theorem for locally compact Abelian $n$-groups”, Sibirsk. Mat. Zh., 49:6 (2008), 1361–1368; Siberian Math. J., 49:6 (2008), 1085–1090
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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