On the Corwin-Greenleaf conjecture. (Sur la conjecture de Corwin-Greenleaf.)
On the decomposition of Haar measure in compact groups
On the Definition of Transfer Factors.
On the Determination of Harish-Chandra's ß-Function.
On the Dual Object of a Compact Connected Group.
On the dual of a Commutative signed Hypergroup.
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.
On the existence of positive solutions of Yamabe-type equations on the Heisenberg group.
On the Existence of Uniformly Distributed Sequences in Compact Topological Spaces II.
On the exponential integrability of fractional integrals on spaces of homogeneous type
In this paper we show that the fractional integral of order α on spaces of homogeneous type embeds into a certain Orlicz space. This extends results of Trudinger [T], Hedberg [H], and Adams-Bagby [AB].
On the extensions of infinite-dimensional representations of Lie semigroups.
On the Fourier transform on the infinite symmetric group.
On the Fourier Transformation of Positive, Positive Definite Measure on Commutative Hypergroups, and Dual Convolution Structures.
On the Fourier Transformation on Spaces of (p, q)-Multipliers.
On the Fourier transforms of weighted orbital integrals.
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 Hausdorff-Young Theorem for Amalgams.
On the Hausdorff-Young theorem for commutative hypergroups
We study the Hausdorff-Young transform for a commutative hypergroup K and its dual space K̂ by extending the domain of the Fourier transform so as to encompass all functions in and respectively, where 1 ≤ p ≤ 2. Our main theorem is that those extended transforms are inverse to each other. In contrast to the group case, this is not obvious, since the dual space K̂ is in general not a hypergroup itself.
On the image of a generalized -plane transform on .
On the inverse Abel transforms for certain Riemannian symmetric spaces of rank 2.