Orbital theory for affine Lie algebras.
Orbites fermées et orbites tempérées
Orbites unipotentes et spectre discret non ramifié. Le cas des groupes classiques déployés
Orbits and primitive ideals of solvable Lie algebras.
Order and domains of attraction of control sets in flag manifolds.
Order theoretic variants of the fundamental theorem of compact semigroups.
Ordered Manifolds, Invariant Cone Fields, and Semigroups.
Ordinals in topological groups
We show that if an uncountable regular cardinal τ and τ + 1 embed in a topological group G as closed subspaces then G is not normal. We also prove that an uncountable regular cardinal cannot be embedded in a torsion free Abelian group that is hereditarily normal. These results are corollaries to our main results about ordinals in topological groups. To state the main results, let τ be an uncountable regular cardinal and G a T₁ topological group. We prove, among others, the following statements:...
Ordre de Bruhat et transfert : le cas réel
Orthogonal polynomial bases for holomorphically induced representations of the general linear groups
Orthogonal symmetric pairs and the Rouvière isomorphism. (Paires symétriques orthogonales et isomorphisme de Rouvière.)
Orthogonality within the families of -, -, and -functions of any compact semisimple Lie group.
Oscillating multipliers on the Heisenberg group
Let ℒ be the sublaplacian on the Heisenberg group Hⁿ. A recent result of Müller and Stein shows that the operator is bounded on for all p satisfying |1/p - 1/2| < 1/(2n). In this paper we show that the same operator is bounded on in the bigger range |1/p - 1/2| < 1/(2n-1) if we consider only functions which are band limited in the central variable.