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Harmonic Synthesis on Group Extensions
MathematicsHarmonic synthesis describes translation invariant linear spaces of continuous complex valued functions on locally compact abelian groups. The basic result due to L.
László Székelyhidi
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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
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Inertial properties in groups [PDF]
International Journal of Group Theory, 2018 Let $G$ be a group and $p$ be an endomorphism of $G$. A subgroup $H$ of $G$ is called $p$-inert if $H^pcap H$ has finite index in the image $H^p$. The subgroups that are $p$-inert for all inner automorphisms of $G$ are widely known and studied in ...
Ulderico Dardano +2 more
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A remark on locally compact Abelian groups [PDF]
Bulletin of the American Mathematical Society, 1946 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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About a structure of exponential monomials on some locally compact abelian groups. О структуре экспоненциальных мономов на некоторых локально компактных абелевых группах [PDF]
Проблемы анализа, 2012 Получено описание некоторого класса экспоненциальных мономов на локально компактных абелевых группах.We describe the structure of some class of exponential monomials onsome locally compact abelian groups.
S. S. Platonov.
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Pro-Lie Groups: A Survey with Open Problems
Axioms, 2015 A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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On the Chabauty space of locally compact abelian groups [PDF]
Algebraic & Geometric Topology, 2011 This paper contains several results about the Chabauty space of a general locally compact abelian group. Notably, we determine its topological dimension, we characterize when it is totally disconnected or connected; we characterize isolated points.
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Nonclosed pure subgroups of locally compact abelian groups
, 1990 We study the existence of many nonclosed pure subgroups of nondiscrete locally compact abelian groups. It is shown that every nondiscrete locally compact abelian group has uncountably many nonclosed pure subgroups. This in particular solves a question of
Yuji Takahashi
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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