Sur l'analyse harmonique du groupe affine de la droite
Sur l'analyse harmonique sur les groupes de Lie résolubles
-filtres, ensembles analytiques et transformation de Fourier -adique
Les propriétés des éléments analytiques sur une partie d’un corps ultramétrique complet, algébriquement clos, dépendent de l’existence sur de filtres strictement annulateurs que l’on caractérise par des relations arithmétiques entre les diamètres et les distances mutuelles des trous de grâce à la notion de -filtre. Alors les ensembles analytiques sont les ensembles sans -filtre à plage non vide. D’autre part, le problème de la transformation de Fourier -adique se ramène à un problème d’analycité...
The Abel transform and shift operators
The Fourier Algebra as an Order Ideal of the Fourier-Stieltjes Algebra.
The Fourier transforms of Lipschitz functions on certain domains.
The Fourier transforms of weighted orbital integrals on simisimple groups of real rank one.
The invariance principle for random variables with values in locally compact groups
The Uncertainty Principle: A Mathematical Survey.
The weak Paley-Wiener property for group extensions.
Transformation de Fourier géométrique et microlocalisation
Transformation de Fourier -adique et produit tensoriel de corps valués
Transformation de Fourier sphérique de type . Applications aux groupes de Lie semi-simples
Unique Disintegration of Arbitraty Positive Definite Functions on *-divisible Semigroups.
Unitary closure and Fourier algebra of a topological group
This is a sequel to our recent work (2012) on the Fourier-Stieltjes algebra B(G) of a topological group G. We introduce the unitary closure G̅ of G and use it to study the Fourier algebra A(G) of G. We also study operator amenability and fixed point property as well as other related geometric properties for A(G).
Weak amenability of the universal covering group fo SU (1, n).
Weak spectral synthesis in Fourier algebras of coset spaces
Let G be a locally compact group, K a compact subgroup of G and A(G/K) the Fourier algebra of the coset space G/K. Applying results from [E. Kaniuth, Weak spectral synthesis in commutative Banach algebras, J. Funct. Anal. 254 (2008), 987-1002], we establish injection and localization theorems relating weak spectral sets and weak Ditkin sets for A(G/K) to such sets for A(H/H ∩ K), where H is a closed subgroup of G. We also prove some results towards the analogue of Malliavin's theorem for weak spectral...
Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra
It is shown that if G is a weakly amenable unimodular group then the Banach algebra , where is the Figà-Talamanca-Herz Banach algebra of G, is a dual Banach space with the Radon-Nikodym property if 1 ≤ r ≤ max(p,p’). This does not hold if p = 2 and r > 2.