V. V. Mukhin, D. V. Sergeeva, “The duality theorem for locally compact Abelian <nobr>$n$</nobr>-groups”, Sibirsk. Mat. Zh., 2008, Volume 49, Number 6,Pages <nobr>1361

This article is cited in 2 papers

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

V. V. Mukhin^a, D. V. Sergeeva^b

^a Cherepovets State University
^b Vologda State Pedagogical University

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.

UDC: 512.541

Received: 19.05.2007