Localisation des sommes de Riesz sur un groupe de Lie compact
Localization and Standard modules for real semisimple Lie groups, I: The duality theorem.
Locally analytic vectors of unitary principal series of
The -adic local Langlands correspondence for attaches to any -dimensional irreducible -adic representation of an admissible unitary representation of . The unitary principal series of are those corresponding to trianguline representations. In this article, for , using the machinery of Colmez, we determine the space of locally analytic vectors for all non-exceptional unitary principal series of by proving a conjecture of Emerton.
Locally finite approximation of Lie groups, I.
Locally minimal topological groups and their embeddings into products of -bounded groups
It is proven that an infinite-dimensional Banach space (considered as an Abelian topological group) is not topologically isomorphic to a subgroup of a product of -compact (or more generally, -bounded) topological groups. This answers a question of M. Tkachenko.
Loop group decompositions in the generalized method.
L’opérateur de Casimir de
Lorentzian Cones in Real Lie Algebras.
Lower estimates for random walks on a class of amenable -adic groups.
Lp multipliers and their H1-L1 estimates on the Heisenberg group.
We give a Hörmander-type sufficient condition on an operator-valued function M that implies the Lp-boundedness result for the operator TM defined by (TMf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group Hn. Here ^ denotes the Fourier transform on Hn defined in terms of the Fock representations. We also show the H1-L1 boundedness of TM, ||TMf||L1 ≤ C||f||H1, for Hn under the same hypotheses of Lp-boundedness.
Lp-estimates for the wave equation on the Heisenberg group.
Let £ denote the sub-Laplacian on the Heisenberg group Hm. We prove that ei√£ / (1 - £)α/2 extends to a bounded operator on Lp(Hm), for 1 ≤ p ≤ ∞, when α > (d - 1) |1/p - 1/2|.
L...-versions of the Howe correspondence I.
Lyapunov exponents for stochastic differential equations on semi-simple Lie groups
With an intrinsic approach on semi-simple Lie groups we find a Furstenberg–Khasminskii type formula for the limit of the diagonal component in the Iwasawa decomposition. It is an integral formula with respect to the invariant measure in the maximal flag manifold of the group (i.e. the Furstenberg boundary ). Its integrand involves the Borel type Riemannian metric in the flag manifolds. When applied to linear stochastic systems which generate a semi-simple group the formula provides a diagonal matrix...