A characterization of algebraic measures
A generalization of Wienner's criteria for the continuity of a Borel measure
A Perron FrobeniusTheory for Representations of Locally Compact Abelian Groups.
Another note on Kalton's theorems
Corrigendum and addendum to "A generalization of Wiener's criteria for the continuity of a Borel measure"
Ensemble de première visite d'une promenade aléatoire à un convexe
Équirépartition dans les adèles
Functions of Translation Type and Functorial Properties of Segal Algebras II.
Iperalgebre dei gruppi abeliani localmente compatti
Measure characteristics of complexes
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 the approximation of functions on locally compact abelian groups.
Points extrémaux dans certains cônes convexes
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...
The dual group of a dense subgroup
Throughout this abstract, is a topological Abelian group and is the space of continuous homomorphisms from into the circle group in the compact-open topology. A dense subgroup of is said to determine if the (necessarily continuous) surjective isomorphism given by is a homeomorphism, and is determined if each dense subgroup of determines . The principal result in this area, obtained independently by L. Außenhofer and M. J. Chasco, is the following: Every metrizable group is...
The existence of initially -compact group topologies on free Abelian groups is independent of ZFC
It was known that free Abelian groups do not admit a Hausdorff compact group topology. Tkachenko showed in 1990 that, under CH, a free Abelian group of size admits a Hausdorff countably compact group topology. We show that no Hausdorff group topology on a free Abelian group makes its -th power countably compact. In particular, a free Abelian group does not admit a Hausdorff -compact nor a sequentially compact group topology. Under CH, we show that a free Abelian group does not admit a Hausdorff...
The size of sums of sets
The Witt group of quadratic characters.