Results 101 to 110 of about 1,273 (222)

Generalized Cotorsion Locally Compact Abelian Groups

Rendiconti del Seminario Matematico della Università di Padova, 2012
This paper is concerned with the generalization of the concept of cotorsion abelian group. A locally compact abelian group L is called generalized cotorsion if L ...
openaire   +2 more sources

Wiener's Approximation Theorem for Locally Compact Abelian Groups [PDF]

, 1974
This study of classical and modern harmonic analysis extends the classical Wiener's approximation theorem to locally compact abelian groups. The first chapter deals with harmonic analysis on the n-dimensional Euclidean space. Included in this chapter are
Shu, Ven-shion
core  

Extension of shift-invariant frames for locally compact abelian groups

Journal of Mathematical Extension, 2014
Let G be a locally compact abelian group with a uniform lattice sub- group. In this paper, we verify extension of shift-invariant systems in L2(G) to tight frames.
Mehdi Rashidi, Akbar Nazari
doaj  

INFINITE DIMENSIONAL STATIONARY RANDOM FIELDS OVER A LOCALLY COMPACT ABELIAN GROUP

, 2012
In this paper we consider spectral representation of infinite dimensional stationary random fields over an abelian locally compact (or LCA) group, and then extend the results of earlier authors who consider wide sense Markov random fields over a ...
M. M. RAO, HERBERT HEYER
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A Locally Compact Non Divisible Abelian Group Whose Character Group Is Torsion Free and Divisible

, 2013
It was claimed by Halmos in 1944 that if G is a Hausdorff locally compact topological abelian group and if the character group of G is torsion free, then G is divisible. We prove that such a claim is false by presenting a family of counterexamples. While
Daniel V. Tausk
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Ground states for nonlocal Schrodinger type operators on locally compact abelian groups

, 2020
Kochubei AN, Kondratiev Y. Ground states for nonlocal Schrodinger type operators on locally compact abelian groups. Journal of Spectral Theory . 2020;10(3):991-1006.We find classes of nonlocal operators of Schrodinger type on a locally compact noncompact
Kochubei, Anatoly N., Kondratiev, Yuri
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Ergodic and mixing properties of measures on locally compact abelian groups

, 1984
We provide new proofs of the theorems of Choquet and Deny and of Foguel concerning iterates of convolutions of a measure on a locally compact abelian group.
Yitzhak Weit, Thomas Ramsey
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Neat locally compact abelian p-groups

Mathematische Annalen
AbstractInspired by a result of Kulikov about splitting of pure subgroups in discrete abelian p-groups we classify all locally compact abelian p-groups with no elements of infinite p-height in which every maximal monothetic subgroup splits. Descriptions of separable compact groups with elements of finite p-height, in which every pure monothetic ...
Wolfgang Herfort, Karl Heinrich Hofmann, Francesco G. Russo   +2 more
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Toeplitz Operators on Locally Compact Abelian Groups

, 2004
Given a function (more generally, a measure) on a locally compact Abelian group, one can define the Toeplitz operators as certain integral transforms of functions on the dual group, where the kernel is the Fourier transform of the original function or ...
Gaebler, David
core  

Infinite groups with fixed point properties

, 2007
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of Hausdorff spaces of finite covering dimension which are mod–p acyclic for at least one prime p.
G. Arzhantseva, T. Januszkiewicz, Arzhantseva, Goulnara, I. J. Leary, Minasyan, Ashot, A. Minasyan, Bridson, MR, Januszkiewicz, T, J. Świa̧tkowski, Bridson, Martin R., Leary, IJ, Swiatkowski, J, Bridson, Martin Robert, Ian J Leary, Martin R Bridson, ASHOT MINASYAN, JACEK ŚWIA̧TKOWSKI, et al., Januszkiewicz, Tadeusz, Leary, Ian J., Bridson, Martin, Arzhantseva, Goulnara N., Minasyan, A, Swiatkowski, Jacek, Arzhantseva, G, M. R. Bridson   +23 more
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