A remark on entropy of Abelian groups and the invariant uniform approximation property
Addendum to the paper "Weak-strong convolution operators on certain disconnected groups"
Analysis on compact Lie groups of large dimension and on connected compact groups
The study of Gaussian convolution semigroups is a subject at the crossroad between abstract and concrete problems in harmonic analysis. This article suggests selected open problems that are in large part motivated by joint work with Alexander Bendikov.
Analytic structures on representation spaces of reductive groups.
Approximations diophantiennes et problèmes additifs dans les groupes abéliens localement compacts
Bernoulli convolutions in LCA groups
Characterizations of those Ideals in L1 (R) which can be Synthesized.
Complex powers and asymptotic expansions. I. Functions of certain types.
Complex powers and asymptotic expansions. II.
Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform
We just published a paper showing that the properties of the shift invariant spaces, ⟨f⟩, generated by the translates by ℤⁿ of an f in L²(ℝⁿ) correspond to the properties of the spaces L²(𝕋ⁿ,p), where the weight p equals [f̂,f̂]. This correspondence helps us produce many new properties of the spaces ⟨f⟩. In this paper we extend this method to the case where the role of ℤⁿ is taken over by locally compact abelian groups G, L²(ℝⁿ) is replaced by a separable Hilbert space on which a unitary representation...
Dérivation sur un groupe localement compact et abélien
Designing Local Orthogonal Bases on Finite Groups I: Abelian Case.
Designing Local Orthogonal Bases on Finite Groups II: Nonabelian Case.
Diophantine Approximation in certain Solenoids
Distributions centrales sur
Éléments ergodiques et totalement ergodiques dans
Embeddability of infinitely divisible distributions on linear Lie groups.
Equivariant Imbeddings of Compact Abelian Lie Groups of Transformations.
Existence of Sidon sets of first kind in LCA groups
Extension de la catégorie des algèbres de Kac
On munit la classe des algèbres de Kac d’une nouvelle classe de morphismes, stable par dualité. Cela permet de rendre compte, dans les cas abélien ou symétrique, de la catégorie des groupes localement compacts munis des morphismes continus de groupe. Le lien avec les morphismes précédemment définis et beaucoup plus restrictifs est établi.