Results 71 to 80 of about 784,457 (160)
Journal of Mathematics, 2013 The concentration function problem for locally compact groups is concerned with the structure of groups admitting adapted nondissipating random walks.
Wilfried Hazod
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Qualitative uncertainty principle for Gabor transform on certain locally compact groups [PDF]
arXiv, 2017 Classes of locally compact groups having qualitative uncertainty principle for Gabor transform have been investigated. These include Moore groups, Heisenberg Group $\mathbb{H}_n, \mathbb{H}_{n} \times D,$ where $D$ is discrete group and other low dimensional nilpotent Lie groups.
arxiv
The theorem of Bochner for adjointable operators valued maps
European Journal of Mathematics and Applications, 2023 In this paper, we obtain a generalisation of Bochner’s theorem to positive definite functions defined on a locally compact abelian group with values in the space of adjointable operators on a Hilbert C*-module.
Koami Gbemou, Yaogan Mensah
doaj
Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Generalize Heisenberg Groups and Self-Duality [PDF]
arXiv, 2016 This paper compares two generalizations of Heisenberg groups and studies their connection to one of the major open problems in the field of locally compact abelian groups, namely the description of the self-dual locally compact abelian groups ([12]). The first generalization is presented by the so called generalized Heisenberg groups $\mathbb{H}(\omega)
arxiv
Decompositions of locally compact contraction groups, series and extensions [PDF]
arXiv, 2018 A locally compact contraction group is a pair (G,f) where G is a locally compact group and f an automorphism of G which is contractive in the sense that the forward orbit under f of each g in G converges to the neutral element e, as n tends to infinity.
arxiv
Compact and discrete subgroups of algebraic quantum groups I [PDF]
arXiv, 2007 Let $G$ be a locally compact group. Consider the C$^*$-algebra $C_0(G)$ of continuous complex functions on $G$, tending to 0 at infinity. The product in $G$ gives rise to a coproduct $\Delta_G$ on the C$^*$-algebra $C_0(G)$. A locally compact {\it quantum} group is a pair $(A,\Delta)$ of a C$^*$-algebra $A$ with a coproduct $\Delta$ on $A$, satisfying ...
arxiv
Semigroup of endomorphisms of a locally compact group [PDF]
, 1958 Morikuni Gotô, Naoki Kimura
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On approximation of topological groups by finite algebraic systems [PDF]
arXiv, 2002 It is known that locally compact groups approximable by finite ones are unimodular, but this condition is not sufficient, for example, the simple Lie groups are not approximable by finite ones as topological groups. In this paper the approximations of locally compact groups by more general finite algebraic systems are investigated.
arxiv