Results 91 to 100 of about 1,273 (222)
Difference equations over locally compact abelian groups
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
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
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
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On the Wehrl entropy lower bound for a locally compact abelian group
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
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
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
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
. 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
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

