Stein Quotients of Connected Complex Lie Groups.
Stratonovich-Weyl correspondence for discrete series representations
Let be a Hermitian symmetric space of the noncompact type and let be a discrete series representation of holomorphically induced from a unitary character of . Following an idea of Figueroa, Gracia-Bondìa and Vàrilly, we construct a Stratonovich-Weyl correspondence for the triple by a suitable modification of the Berezin calculus on . We extend the corresponding Berezin transform to a class of functions on which contains the Berezin symbol of for in the Lie algebra of . This allows...
Stratonovich-Weyl correspondence for the Jacobi group
We construct and study a Stratonovich-Weyl correspondence for the holomorphic representations of the Jacobi group.
Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group
We prove Strichartz inequalities for the solution of the Schrödinger equation related to the full Laplacian on the Heisenberg group. A key point consists in estimating the decay in time of the norm of the free solution; this requires a careful analysis due also to the non-homogeneous nature of the full Laplacian.
Strict measure rigidity for unipotent subgroups of solvable groups.
Strong Rigidity of Q-Rank 1 Lattices.
Strong spectral gaps for compact quotients of products of )
The existence of a strong spectral gap for quotients of noncompact connected semisimple Lie groups is crucial in many applications. For congruence lattices there are uniform and very good bounds for the spectral gap coming from the known bounds towards the Ramanujan–Selberg conjectures. If has no compact factors then for general lattices a spectral gap can still be established, but there is no uniformity and no effective bounds are known. This note is concerned with the spectral gap for an irreducible...
Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
Structure des espaces préhomogènes associés à certaines algèbres de Lie graduées.
Structure of central torsion Iwasawa modules
We describe an approach to determining, up to pseudoisomorphism, the structure of a central-torsion module over the Iwasawa algebra of a pro-, -adic, Lie group containing no element of order . The techniques employed follow classical methods used in the commutative case, but using Ore’s method of localisation. We then consider the properties of certain invariants which may prove useful in determining the structure of a module. Finally, we describe the case of pro- subgroups of in detail and...
Sub-Laplacian with drift in nilpotent Lie groups
We consider the heat kernel corresponding to the left invariant sub-Laplacian with drift term in the first commutator of the Lie algebra, on a nilpotent Lie group. We improve the results obtained by G. Alexopoulos in [1], [2] proving the “exact Gaussian factor” exp(-|g|²/4(1+ε)t) in the large time upper Gaussian estimate for . We also obtain a large time lower Gaussian estimate for .
Sub-Laplacians of holomorphic -type on exponential Lie groups
In this survey article, I shall give an overview on some recent developments concerning the -functional calculus for sub-Laplacians on exponential solvable Lie groups. In particular, I shall give an outline on some recent joint work with W. Hebisch and J. Ludwig on sub-Laplacians which are of holomorphic -type, in the sense that every -spectral multiplier for will be holomorphic in some domain.
Subvarieties of parallelizable manifolds.
Sums of adjoint orbits.
Supercuspidal representations of over a local field of residual characteristic 2, part I
Superintegrability on three-dimensional Riemannian and relativistic spaces of constant curvature.
Superrigidity for the commensurability group of tree lattices.
Superrigidity of lattices in solvable Lie groups.
Supertempered virtual characters
Supports of Gauss measures on semisimple Lie groups.