Results 21 to 30 of about 433,369 (119)
Co-compact Gabor systems on locally compact abelian groups [PDF]
, 2015 In this work we extend classical structure and duality results in Gabor analysis on the euclidean space to the setting of second countable locally compact abelian (LCA) groups.
Jakobsen, Mads Sielemann, Lemvig, Jakob
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Totally disconnected locally compact groups locally of finite rank
, 2015 We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-$\pi$ compact open subgroup for some finite set of primes $\pi ...
Wesolek, Phillip
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Approximating Simple Locally Compact Groups by Their Dense Locally Compact Subgroups [PDF]
International Mathematics Research Notices, 2019 Abstract The class $\mathscr{S}$ of totally disconnected locally compact (tdlc) groups that are non-discrete, compactly generated, and topologically simple contains many compelling examples. In recent years, a general theory for these groups, which studies the interaction between the compact open subgroups and the global structure, has ...
Caprace, Pierre-Emmanuel +2 more
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LOCALLY COMPACT WREATH PRODUCTS [PDF]
Journal of the Australian Mathematical Society, 2018 Wreath products of nondiscrete locally compact groups are usually not locally compact groups, nor even topological groups. As a substitute introduce a natural extension of the wreath product construction to the setting of locally compact groups. Applying this construction, we disprove a conjecture of Trofimov, constructing compactly generated locally ...
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Exactness of locally compact groups
, 2017 We give some new characterizations of exactness for locally compact second countable groups. In particular, we prove that a locally compact second countable group is exact if and only if it admits a topologically amenable action on a compact Hausdorff ...
Adams +40 more
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Interpolation sets and the size of quotients of function spaces on a locally compact group [PDF]
, 2013 We devise a fairly general method for estimating the size of quotients between algebras of functions on a locally compact group. This method is based on the concept of interpolation sets and unifies the approaches followed by many authors to obtain ...
Filali, Mahmoud, Galindo, Jorge
core
Reduced spectral synthesis and compact operator synthesis
, 2019 We introduce and study the notion of reduced spectral synthesis, which unifies the concepts of spectral synthesis and uniqueness in locally compact groups.
Shulman, V. S. +2 more
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Proper actions and proper invariant metrics
, 2008 We show that if a (locally compact) group $G$ acts properly on a locally compact $\sigma$-compact space $X$ then there is a family of $G$-invariant proper continuous finite-valued pseudometrics which induces the topology of $X$.
Abels, Herbert +2 more
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Local Connection in Locally Compact Spaces [PDF]
Proceedings of the American Mathematical Society, 1950 It was proved by Hurewiczl that a compact space which is both LC1 and lc" is LCD. In the present paper the corresponding result for locally compact spaces is proved, (a) for uniform local connection, and (b) for relative local connection.2 The extension of Hurewicz's theorem to locally compact spaces is included in (b). The main difficulty in extending
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Homogeneous locally compact groups with compact boundary [PDF]
Transactions of the American Mathematical Society, 1963 A locally compact group with compact boundary is a locally compact topological semigroup in which an open subgroup is dense and has a compact complement. These semigroups were studied in a previous paper whose results and notation are freely used in the present work [2].
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