Results 11 to 20 of about 26,229 (312)
Shannon’s theorem for locally compact groups [PDF]
The Annals of Probability, 2022 We consider random walks on locally compact groups, extending the geometric criteria for the identification of their Poisson boundary previously known for discrete groups. First, we prove a version of the Shannon-McMillan-Breiman theorem, which we then use to generalize Kaimanovich's ray approximation and strip approximation criteria.
Forghani B., Tiozzo G.
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Continuity of the dual Haar measure
Comptes Rendus. Mathématique, 2021 Given a continuous field of locally compact groups, we show that the field of the Plancherel weights of their C*-algebras is lower semi-continuous. As a corollary, we obtain that the dual Haar system of a continuous Haar system of a locally compact ...
Renault, Jean
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Derivative for Functions f:G→H, Where G Is a Metric Divisible Group
Mathematics, 2022 In this paper, a derivative for functions f:G→H, where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.
Héctor Andrés Granada Díaz +2 more
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The weights of closed subgroups of a locally compact group [PDF]
, 2012 Let G be an infinite locally compact group and let @ be a cardinal satisfying @0 @ w.G/ for the weight w.G/ of G. It is shown that there is a closed subgroup N of G with w.N / D @. Sample consequences are: (1) Every infinite compact group contains
Hernández, Salvador +5 more
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On Character Space of the Algebra of BSE-functions [PDF]
Sahand Communications in Mathematical Analysis, 2018 Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character
Mohammad Fozouni
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Asymptotic invariants of lattices in locally compact groups
Comptes Rendus. Mathématique, 2023 The aim of this work is to understand some of the asymptotic properties of sequences of lattices in a fixed locally compact group. In particular we will study the asymptotic growth of the Betti numbers of the lattices renormalized by the covolume and the
Carderi, Alessandro
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Quantum stochastic convolution cocycles III [PDF]
, 2011 The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G. +3 more
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Sahand Communications in Mathematical Analysis, 2018 Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames.
Ataollah Askari Hemmat +2 more
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Locally compact groups and locally minimal group topologies [PDF]
, 2019 Minimal groups are Hausdorff topological groups G satisfying the open mapping theorem with respect to continuous isomorphisms, i.e., every continuous iso- morphism G → H, with H a Hausdorff topological group, is a topological isomorphism.
Xiao, Zhiqiang +3 more
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Globalizing Locally Compact Local Groups
Journal of Lie Theory, 2010 5 ...
van den Dries, Lou, Goldbring, Isaac
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