Results 121 to 130 of about 1,273 (222)
On local connectedness of locally compact Abelian groups
Mathematische Annalen, 1970 A well-known characterization of the local connectedness of a compact Abelian group in terms of a dual property is the following theorem of Pontryagin ([4], § 38, Theorem 48): The dual group G of a discrete Abelian group G is locally connected, if and only if every finite set in G is contained in a finitely generated subgroup H of G with torsion-free G/
openaire +1 more source
The C*-Algebra Generated by Operators with Compact Support on a Locally Compact Group
, 1993 Let G be a locally compact group and VN(G) be the von Neumann algebra generated by the left regular representation of G. Let UCB(Ĝ) denote the C*-subalgebra generated by operators in VN(G) with compact support.
Losert, V., Lau, A.T.M.
core +1 more source
Quantum Harmonic Analysis on Locally Compact Abelian Groups
Journal of Fourier Analysis and ApplicationsAbstract We extend the notions of quantum harmonic analysis, as introduced in R. Werner’s paper from 1984 (J Math Phys 25(5):1404–1411), to abelian phase spaces, by which we mean a locally compact abelian group endowed with a Heisenberg multiplier. In this way, we obtain a joint harmonic analysis of functions and operators for each such phase
Robert Fulsche, Niklas Galke
openaire +2 more sources
Characterization of probability measures on locally compact Abelian groups via Q-independence
, 2018 We obtain a characterization for probability measures on a locally compact Abelian group X based on linear forms of Q-independent random elements taking values in X generalizing the earlier work of the author in [12]
Rao B. L. S. Prakasa +1 more
core +1 more source
Difference subspaces on locally compact groups
, 2009 be a locally compact group. A difference subspace of LP(G)(1 ≤ p ≤ oo) is a vector subspace of LP(G) generated by a set of vectors of the form ƒ-μ*ƒ, where ƒ is in LP(G), μ is in some prescribed set of measures on G, and * is convolution in the usual ...
Wai-Lok Lo (20159334)
core
Robustness of Topological Phases on Aperiodic Lattices. [PDF]
Math Phys Anal GeomLi Y.
europepmc +1 more source
On <i>p</i>-adic <i>L</i>-functions for symplectic representations of GL ( N ) over number fields. [PDF]
Res Math SciWilliams C.
europepmc +1 more source
The Laplace Transform for Locally Compact Abelian Groups [PDF]
Proceedings of the National Academy of Sciences, 1948 openaire +3 more sources
Groups acting on trees with Tits' independence property (P): With an appendix by Stephan Tornier. [PDF]
Math AnnReid CD, Smith SM.
europepmc +1 more source
Locally Compact Groups: Traditions and Trends
, 2017 For a lecture in the Topology+Algebra and Analysis section, the subject of locally compact groups appears particularly fitting: Historically and currently as well, the structure and representation theory of locally compact groups draws its methods from ...
Hofmann, Karl Heinrich +2 more
core