Smoothness and analycity for solutions of first order systems of partial differential equations on nilpotent Lie groups.
Smoothness of densities of semigroups of measures on homogeneous groups
Some applications of seesaw duality to branching laws.
Some basic properties of theta series. (Quelques propriétés de base de séries théta.)
Some geometrical properties of infinite-dimensional bilinear controlled systems
The study of controlled infinite-dimensional systems gives rise to many papers (see for instance [GXL], [GXB], [X]) but it is also motivated by various mathematical problems: partial differential equations ([BP]), sub-Riemannian geometry on infinite-dimensional manifolds ([Gr]), deformations in loop-spaces ([AP], [PS]). The first difference between finite and infinite-dimensional cases is that solutions in general do not exist (even locally) for every given control function. The aim of this paper...
Some groups whose reduced -algebra is simple
Some Hardy type inequalities in the Heisenberg group.
Some linear groups virtually having a free quotient.
Some nonzero cohomology of discrete groups.
Some oscillatory integrals and their applications
Some properties of Carnot-Carathéodory balls in the Heisenberg group
Using the exact representation of Carnot-Carathéodory balls in the Heisenberg group, we prove that: 1. in the classical sense for all with , where is the distance from the origin; 2. Metric balls are not optimal isoperimetric sets in the Heisenberg group.
Some relations among volume, intrinsic perimeter and one-dimensional restrictions of functions in Carnot groups
Let be a -step Carnot group. The first aim of this paper is to show an interplay between volume and -perimeter, using one-dimensional horizontal slicing. What we prove is a kind of Fubini theorem for -regular submanifolds of codimension one. We then give some applications of this result: slicing of functions, integral geometric formulae for volume and -perimeter and, making use of a suitable notion of convexity, called-convexity, we state a Cauchy type formula for -convex sets. Finally,...
Some Remarks on Invariant Means.
Some representations of affine conformal transformations of Minkowski space.
Some results on reducibilty for unitary groups and local Asai L-functions.
Some results on the admissible representations of non-connected reductive -adic groups
Some results on the unramified principal series of p-adic groups.
Some results on unipotent orbital integrals
Some special functions related to unimodular pseudo-orthogonal groups
We obtain some matrix elements of basis transformations in a representation space of the unimodular pseudo-orthogonal group. Using these elements, we derive some formulas for special functions.
Some subregular germs for -adic .