Results 91 to 100 of about 1,273 (222)

Difference equations over locally compact abelian groups

open access: yes, 1979
A homogeneous linear difference equation with constant coefficients over a locally compact abelian group G is an equation of the form Σ j = 1 n
G. A. Edgar, J. M. Rosenblatt
core   +1 more source

On a family of weighted convolution algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
Continuing a line of research initiated by Larsen, Liu and Wang [12], Martin and Yap [13], Gürkanli [15], and influenced by Reiter's presentation of Beurling and Segal algebras in Reiter [2,10] this paper presents the study of a family of Banach ideals ...
Hans G. Feichtinger, A. Turan Gürkanli
doaj   +1 more source

Both compact and sequentially compact sets in abelian topological group

open access: yes, 2011
We show that every abelian topological group contains many interesting sets which are both compact and sequentially compact. Then we can deduce some useful facts, e.g.,(1)if G is a Hausdorff abelian topological group and μ:2N→G is countably additive ...
Guo, Hao   +5 more
core   +1 more source

On the Wehrl entropy lower bound for a locally compact abelian group

open access: yes, 2023
A Wehrl entropy construction is proposed for an arbitrary locally compact abelian group $G$. It is proved that the Wehrl entropy is not less than a non-negative integer, which is an invariant of the group $G$. The minimum of the Wehrl entropy is achieved
Zelenov, Evgeny I.
core  

Rearrangements of Functions on a Locally Compact Abelian Group and Integrability of the Fourier Transform

open access: yes, 1997
We find in this paper the equimeasurable hulls and kernels of some function classes on a locally compact abelian group. These classes consist of all functions for which the Fourier transform belongs to a given Lorentz space on the dual group.
Gulisashvili, A.
core   +1 more source

The Skitovitch-Darmois theorem for locally compact Abelian groups

open access: yes, 2010
According to the Skitovich–Darmois theorem, the independence of two linear forms of n independent random variables implies that the random variables are Gaussian.
P. Graczyk, G. Feldman
core   +2 more sources

Locally Compact Near Abelian Groups and Applications

open access: yes, 2014
Ist G modulo eines abelschen Normalteilers topologisch lokal zyklisch und wirkt G auf dem Normalteiler "skalar", so wird die Struktur im Falle der Lokalkompaktheit bestimmt.
Hofmann, Karl Heinrich   +2 more
core  

ON THE CHABAUTY SPACE OF LOCALLY COMPACT ABELIAN GROUPS

open access: yes, 2020
. 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 ...
Yves Cornulier
core  

Relating a Locally Compact Abelian Group to Its Bohr Compactification

open access: yes, 1996
We find several conditions on a locally compact Abelian groupGnecessary and sufficient thatG+, the groupGin the topology inherited from its Bohr compactification, is realcompact.
Hernández, Salvador   +2 more
core   +1 more source

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