Contribution à l'analyse harmonique sphérique
Convolution on the reduced dual of a locally compact group.
Convolution Semigroups and Resolvent Families of Measures on Hypergroups.
Convolutions on compact groups and Fourier algebras of coset spaces
We study two related questions. (1) For a compact group G, what are the ranges of the convolution maps on A(G × G) given for u,v in A(G) by u × v ↦ u*v̌ (v̌(s) = v(s^-1)) and u × v ↦ u*v? (2) For a locally compact group G and a compact subgroup K, what are the amenability properties of the Fourier algebra of the coset space A(G/K)? The algebra A(G/K) was defined and studied by the first named author. In answering the first question, we obtain, for compact groups which do not...
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Disjointness preserving mappings between Fourier algebras
Dualité, et transformation de Fourier -adiques
Dualité et transformation de Fourier p-adiques
Efficient Computation of Fourier Transforms on Compact Groups.
Ergodic sequences of probability measures on commutative hypergroups.
Erratum to "On convolution operators with small support which are far from being convolution by a bounded measure" (Colloq. Math. 67 (1994), 33-60)
Extreme non-Arens regularity of quotients of the Fourier algebra A(G)
[FIA]... Gruppen und Hypergruppen.
Fonction brownienne sur une variété riemannienne
Fourier transforms of Lipschitz functions on certain Lie groups.
Geometry of the Fourier Algebras and Locally Compact Groups with Atomic Unitary Representations.
Hardy spaces on SU(2)
Hardy's theorem for the helgason Fourier transform on noncompact rank one symmetric spaces
Let G be a semisimple Lie group with Iwasawa decomposition G = KAN. Let X = G/K be the associated symmetric space and assume that X is of rank one. Let M be the centraliser of A in K and consider an orthonormal basis of L²(K/M) consisting of K-finite functions of type δ on K/M. For a function f on X let f̃(λ,b), λ ∈ ℂ, be the Helgason Fourier transform. Let be the heat kernel associated to the Laplace-Beltrami operator and let be the Kostant polynomials. We establish the following version...
Harmonic analysis and centers of Beurling algebras.
Harmonic analysis on the one-sheet hyperboloid and multiperipheral inclusive distributions