Controllability of affine right-invariant systems on solvable Lie groups.
Controllability of invariant control systems at uniform time
Let be a compact and connected semisimple Lie group and an invariant control systems on . Our aim in this work is to give a new proof of Theorem 1 proved by Jurdjevic and Sussmann in [6]. Precisely, to find a positive time such that the system turns out controllable at uniform time . Our proof is different, elementary and the main argument comes directly from the definition of semisimple Lie group. The uniform time is not arbitrary. Finally, if denotes the reachable set from arbitrary...
Controllability of right invariant systems on semi-simple Lie groups
We deal with controllability of right invariant control systems on semi-simple Lie groups. We recall the history of the problem and the successive results. We state the final complete result, with a sketch of proof.
Controllability of systems on a nilpotent Lie group
Controllability on real reductive Lie groups.
Convergence of Poisson integrals on semidirect extensions of homogeneous groups
Convergences for the group of real numbers
Convergent nets in abelian topological groups.
Converse theorems for
Convex functions on Carnot groups.
Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.
Convexes divisibles III
Convexité pour les opérateurs différentiels invariants sur les groupes de Lie.
Convexity and almost convexity in groups
We give a review of results proved and published mostly in recent years, concerning real-valued convex functions as well as almost convex functions defined on a (not necessarily convex) subset of a group. Analogues of such classical results as the theorems of Jensen, Bernstein-Doetsch, Blumberg-Sierpiński, Ostrowski, and Mehdi are presented. A version of the Hahn-Banach theorem with a convex control function is proved, too. We also study some questions specific for the group setting, for instance...
Convexity and unitary represenattions of nilpotent Lie groups.
Convexity for invariant differential operators on semisimple symmetric spaces
Convexity Properties of the Moment Mapping.
Convolution des courants sur un groupe de Lie
Convolution semigroup of measures on compact noncommutative semigroups
Coproduct in the Category of Groups Satisfying Pontryagin Duality.