On convolution products of radial measures on the Heisenberg group
On convolution squares of singular measures
We prove that for every compact, connected group G there is a singular measure μ such that the Fourier series of μ*μ converges uniformly on G. Our results extend the earlier results of Saeki and Dooley-Gupta.
On decomposition of pseudomeasures on some subsets of LCA groups
On Fourier Stieltjes Transforms of Discrete measures.
On Haar measure of .
On Haar Measure on Sl(n,r)
On Haar null sets
We prove that in Polish, abelian, non-locally-compact groups the family of Haar null sets of Christensen does not fulfil the countable chain condition, that is, there exists an uncountable family of pairwise disjoint universally measurable sets which are not Haar null. (Dougherty, answering an old question of Christensen, showed earlier that this was the case for some Polish, abelian, non-locally-compact groups.) Thus we obtain the following characterization of locally compact, abelian groups: Let...
On infinitely divisible measures on certain finitely generated groups.
On Neutral Subgroups of Topological Groups.
On Positive Definite Measures.
On random walks with continuous components.
On Riesz product measures ; mutual absolute continuity and singularity
We give some criteria for mutual absolute continuity and for singularity of Riesz product measures on locally compact abelian groups. The first section gives the definition of such a measure which is more general than the usual definition. The second section provides three sufficient conditions for one Riesz product measure to be absolutely continuous with respect to another. One of our results contains a theorem of Brown-Moran-Ritter as a special case. The final section deals with random Riesz...
On some spaces of linear functionals on the algebras for locally compact groups
On strictly sparse subsets of a free group.
On the Asymptotic Behaviour of Convolution Powers of Probabilities on Discrete Groups.
On the continuity of convolution.
On the continuity of convolution semigroups.
On the convolution of a probability measure.
On the decomposition of Haar measure in compact groups
On the existence of a Haar measure in topological IP-loops
In this paper, we give conditions ensuring the existence of a Haar measure in topological IP-loops.