Results 11 to 20 of about 1,273 (222)
Locally compact abelian p-groups
Topology and its Applications, 2019 In this interesting and well-written paper the authors study various aspects of \textit{ periodic} locally compact abelian (lca) groups. An lca group \(G\) is called \textit{ periodic} if it is totally disconnected and is a direct union of its compact subgroups.
Herfort W, Hofmann KH, Russo F
openaire +4 more sources
Characterisation of Locally Compact Abelian Groups Having Spectral Synthesis
Forum of Mathematics, SigmaIn this paper we solve a long-standing problem which goes back to Laurent Schwartz’s work on mean periodic functions. Namely, we completely characterize those locally compact Abelian groups having spectral synthesis. So far a characterization theorem was
László Székelyhidi
doaj +3 more sources
Bracket Products on Locally Compact Abelian Groups [PDF]
Journal of Sciences, Islamic Republic of Iran, 2008 We define a new function-valued inner product on L2(G), called ?-bracket product, where G is a locally compact abelian group and ? is a topological isomorphism on G.
doaj +1 more source
Exponentials on Locally Compact Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1981 The canonical mapping on the product of a LCA group with its dual is shown to extend uniquely in a homomorphic and analytic way to the product of the respective complexifications. According to the Pontryagin-Van Kampen theory, locally compact Abelian groups exist in pairs.
Novak, David, McKennon, Kelly
openaire +2 more sources
Connecting Locally Compact Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1983 Those locally compact abelian groups having connected envelopes are characterized as those G G such that the dimension of
Enochs, Ed, Gerlach, Walt
openaire +1 more source
Saturation on locally compact abelian groups [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1985 AbstractLet G be a locally compact abeian group, (μρ) a net of bounded Radon measures on G. In this paper we consider conditions under which (μρ) is saturated in Lp (G) and apply these results to the Fejér and Picard approximation processes.
Bloom, W.R., Sussich, J.F.
openaire +2 more sources
Densities on locally compact abelian groups [PDF]
Annales de l'Institut Fourier, 1968 A density on a locally compact Abelian group G is a bounded system of compatible measures on the compact quotients of G . We study the Banach algebra of densities on
Berg, I. D., Rubel, L. A.
openaire +5 more sources
Riggings of Locally Compact Abelian Groups [PDF]
, 2012 8 pages, XXV Workshop Geometrical Methods in Physics, Bialowieza ...
Gadella, Manuel +2 more
openaire +4 more sources
Extensions of Locally Compact Abelian Groups. I [PDF]
Transactions of the American Mathematical Society, 1971 It is shown that the extension functor defined on the category ' of locally compact abelian groups is right-exact. Actually Extn is shown to be zero for all n ?2. Various applications are obtained which deal with the general problem as to when a locally compact abelian group is the direct product of a connected group and a totally disconnected group ...
Pulp, R. O., Griffith, P. A.
openaire +3 more sources
A Finiteness Condition for Locally Compact Abelian Groups [PDF]
Journal of the Australian Mathematical Society, 1971 A map f: A→B in category is called monic if fg = fh implies that g = h for all maps g, h: C → A; it is called epic if gf = hf implies that g = h for all maps g, h: B → C. An object A ∈ is called an S-object if every monic map f: A → A is also epic; it is called a Q-object if every epic map f: A → A is also monic.
Grove, L. C., Lardy, L. J.
openaire +1 more source