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.
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Original Russian Text Copyright © 2008 Mukhin V. V. and Sergeeva D. V.
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Cherepovets; Vologda. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 6, pp. 1361–1368, November–December, 2008
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Mukhin, V.V., Sergeeva, D.V. The duality theorem for locally compact Abelian n-groups. Sib Math J 49, 1085–1090 (2008). https://doi.org/10.1007/s11202-008-0104-y
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DOI: https://doi.org/10.1007/s11202-008-0104-y