Tensor product surfaces in and Lie groups.
The Calderón reproducing formula associated with the Heisenberg group .
The Fourier algebra of SL(2,...)......, n...2, has no multiplier bounded approximate unit.
The Fourier-Stieltjes algebra of a semisimple group
The Geometric Traveling Salesman Problem in the Heisenberg Group.
The heat kernel on Lie groups.
The Poisson Kernel for Heisenberg Polynomials on the Disk.
The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets
The Selberg trace formula. I: ...-rank one lattices.
The singularity of orbital measures on compact Lie groups.
We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.
The size of characters of compact Lie groups
Pointwise upper bounds for characters of compact, connected, simple Lie groups are obtained which enable one to prove that if μ is any central, continuous measure and n exceeds half the dimension of the Lie group, then . When μ is a continuous, orbital measure then is seen to belong to . Lower bounds on the p-norms of characters are also obtained, and are used to show that, as in the abelian case, m-fold products of Sidon sets are not p-Sidon if p < 2m/(m+1).
The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces
We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported 𝔳-radial functions on a Damek-Ricci space S = NA.
Théorème central limite sur les groupes nilpotents
Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I.
Transferring eigenfunction bounds from to hⁿ
By using the notion of contraction of Lie groups, we transfer estimates for joint spectral projectors from the unit complex sphere in to the reduced Heisenberg group hⁿ. In particular, we deduce some estimates recently obtained by H. Koch and F. Ricci on hⁿ. As a consequence, we prove, in the spirit of Sogge’s work, a discrete restriction theorem for the sub-Laplacian L on hⁿ.
Transport optimal de mesure dans le groupe de Heisenberg
Twisted convolutions with Calderón-Zygmund kernels.
Two-weighted inequalities for integral operators in Lorentz spaces defined on homogeneous groups.
Type I criteria and the Plancherel formula for Lie groups with co-compact radical