Stable semi-groups of measures on the Heisenberg group
Stime per operatori di convoluzione e integrazione frazionaria lungo curve
Sub-Laplacian with drift in nilpotent Lie groups
We consider the heat kernel corresponding to the left invariant sub-Laplacian with drift term in the first commutator of the Lie algebra, on a nilpotent Lie group. We improve the results obtained by G. Alexopoulos in [1], [2] proving the “exact Gaussian factor” exp(-|g|²/4(1+ε)t) in the large time upper Gaussian estimate for . We also obtain a large time lower Gaussian estimate for .
Sub-Laplacians of holomorphic -type on exponential Lie groups
In this survey article, I shall give an overview on some recent developments concerning the -functional calculus for sub-Laplacians on exponential solvable Lie groups. In particular, I shall give an outline on some recent joint work with W. Hebisch and J. Ludwig on sub-Laplacians which are of holomorphic -type, in the sense that every -spectral multiplier for will be holomorphic in some domain.
Sur certains opérateurs différentiels invariants du groupe hyperbolique
Sur l'analyse harmonique du groupe affine de la droite
Sur l'analyse harmonique sur les groupes de Lie résolubles
Sur les représentations différentiables des groupes de Lie algébriques
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.