Iperalgebre dei gruppi abeliani localmente compatti
Joint continuity of sequentially continuous maps
Locally compact groups and β-varieties of topological groups
Lyapunov measures on effect algebras
We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.
Measure characteristics of complexes
Minimal non-totally minimal topological rings
Monogenic groups
Multiresolution analysis and Radon measures on a locally compact Abelian group
A multiresolution analysis is defined in a class of locally compact abelian groups . It is shown that the spaces of integrable functions and the complex Radon measures admit a simple characterization in terms of this multiresolution analysis.
On a problem of Narkiewicz concerning uniform distributions of sequences of integers
On locally compact abelian groups which are topologically pure in their Bohr compactifications
On regular endomorphism rings of topological Abelian groups
We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups for which is regular is given.
On systems of imprimitivity on locally compact abelian groups with dense actions
Consider the four pairs of groups , , and , where , are locally compact second countable abelian groups, is a dense subgroup of with inclusion map from to continuous; is a closed subgroup of ; , are the duals of and respectively, and is the annihilator of in . Let the first co-ordinate of each pair act on the second by translation. We connect, by a commutative diagram, the systems of imprimitivity which arise in a natural fashion on each pair, starting with a system...
On the approximation of functions on locally compact abelian groups.
On the spectral radius in
P-commutativity of the Banach Algebra L1 (G).
Points extrémaux dans certains cônes convexes
Pure extensions of locally compact abelian groups
Quelques notions sur l'équirépartition dans les groupes abéliens compacts et localement compacts
Recovery of band-limited functions on locally compact Abelian groups from irregular samples
Using the techniques of approximation and factorization of convolution operators we study the problem of irregular sampling of band-limited functions on a locally compact Abelian group . The results of this paper relate to earlier work by Feichtinger and Gröchenig in a similar way as Kluvánek’s work published in 1969 relates to the classical Shannon Sampling Theorem. Generally speaking we claim that reconstruction is possible as long as there is sufficient high sampling density. Moreover, the iterative...
Segal Algebras with Functorial Properties.