On the Fourier Transformation of Positive, Positive Definite Measure on Commutative Hypergroups, and Dual Convolution Structures.
On the Haagerup inequality and groups acting on -buildings
Let be a group endowed with a length function , and let be a linear subspace of . We say that satisfies the Haagerup inequality if there exists constants such that, for any , the convolutor norm of on is dominated by times the norm of . We show that, for , the Haagerup inequality can be expressed in terms of decay of random walks associated with finitely supported symmetric probability measures on . If is a word length function on a finitely generated group , we show that,...
On the Levy-Chintschin formula on locally compact maximally almost periodic groups.
On the Proportionality of Covolumes of Discrete Subgroups.
On the relation between Gaussian measures and convolution semigroups of local type.
On the spectrum of the Laplacian on the affine group of the real line
On the Stieltjes moment problem on semigroups
We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).
On the Structure of Groups with Polynomial Growth.
On the structure of the semigroup of measures on a finite semigroup
On the support of the conjugation representation for solvable locally compact groups.
On the Support of the Measures in a Symmetric Convolution Semigroup.
On the supports and absolute continuity of infinitely divisible probability measures.
On unicity of the Riesz decomposition of an excessive measure.
On uniqueness of G-measures and g-measures
We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension of...
Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliers
Orbit closures of generic unipotent flows on homogeneous spaces of SL (3, IR).
-adic -functions attached to characters of -power order
P-Amenable Locally Compact Groups.
Pointwise estimates for densities of stable semigroups of measures
Let be a symmetric α-stable semigroup of probability measures on a homogeneous group N, where 0 < α < 2. Assume that are absolutely continuous with respect to Haar measure and denote by the corresponding densities. We show that the estimate , x≠0, holds true with some integrable function Ω on the unit sphere Σ if and only if the density of the Lévy measure of the semigroup belongs locally to the Zygmund class LlogL(N╲e). The problem turns out to be related to the properties of the maximal...
Poissonmaße auf lokalkompakten Halbgruppen.