Marches aléatoires sur les espaces homogènes des groupes nilpotents connexes à génération compacte
Maximal functions related to subelliptic operators invariant under an action of a nilpotent Lie group
Maximal functions related to subelliptic operators invariant under an action of a solvable Lie group
On the domain S_a = {(x,e^b): x ∈ N, b ∈ ℝ, b > a} where N is a simply connected nilpotent Lie group, a certain N-left-invariant, second order, degenerate elliptic operator L is considered. N × {e^a} is the Poisson boundary for L-harmonic functions F, i.e. F is the Poisson integral F(xe^b) = ʃ_N f(xy)dμ^b_a(x), for an f in L^∞(N). The main theorem of the paper asserts that the maximal function M^a f(x) = sup{|ʃf(xy)dμ_a^b(y)| : b > a} is of weak type (1,1).
Maximal semigroups in the divisible hull of lattices in nilpotent Lie groups.
Measures with idempotent types and completely stable measures on nilpotent groups
Moment sets and the unitary dual of a nilpotent Lie group.
Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires
On montre, pour une classe particulière de groupes non-unimodulaires , où est un groupe de Lie stratifié et où l’action de est définie par les dilatations naturelles de , et pour les sous-laplaciens invariants à gauche correspondants , que toute fonction possédant un support compact dans définit un opérateur borné sur les espaces de Lebesgue associés à la mesure de Haar invariante à droite sur , .
Multipliers for a Distinguished Laplacean on Solvable Extensions of H-Type Groups.
Naturally reductive homogeneous spaces and generalized Heisenberg groups
Nichtsymmetrische sechsdimensionale Liesche Gruppen.
Nilpotent Lie groups and eigenfunction expansions of Schrödinger operators II
Nilpotent Lie groups and summability of eigenfunction expansions of Schrödinger operators
Nilpotente Liesche Gruppen haben symmetrische Gruppenalgebren.
Nilvariétés projectives.
Noncoercive differential operators on homogeneous manifolds of negative curvature and their Green functions
We obtain upper and lower estimates for the Green function for a second order noncoercive differential operator on a homogeneous manifold of negative curvature.
Normalizers of compact subgroups, the existence of commuting automorphisms, and applications to operator semistable measures.
Note on coarea formulae in the Heisenberg group.
We show a first nontrivial example of coarea formula for vector-valued Lipschitz maps defined on the three dimensional Heisenberg group. In this coarea formula, integration on level sets is performed with respect to the 2-dimensional spherical Hausdorff measure, built by the Carnot-Carathéodory distance. The standard jacobian is replaced by the so called horizontal jacobian, corresponding to the jacobian of the Pansu differential of the Lipschitz map. Joining previous results, we achieve all possible...
Note on Nilpotent Spaces and Localization.
N-step nilpotent Lie groups with flat Kirillov orbits
On 3-symmetric Riemannian spaces of solvable type