Semigroups of measures in non-commutative analysis.
Sidon sets and Riesz sets for some measure algebras on the disk
Sidon sets for the disk polynomial measure algebra (the continuous disk polynomial hypergroup) are described completely in terms of classical Sidon sets for the circle; an analogue of the F. and M. Riesz theorem is also proved.
Sidonicity in compact, abelian hypergroups
Sonine transform associated to the Dunkl kernel on the real line.
Strong Laws of Large Numbers for Random Walks Associated with a Class of One-Dimensional Convolution Structures.
Strongly invariant means on commutative hypergroups
We introduce and study strongly invariant means m on commutative hypergroups, , x ∈ K, . We show that the existence of such means is equivalent to a strong Reiter condition. For polynomial hypergroups we derive a growth condition for the Haar weights which is equivalent to the existence of strongly invariant means. We apply this characterization to show that there are commutative hypergroups which do not possess strongly invariant means.