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 completions of -groups
Strict measure rigidity for unipotent subgroups of solvable groups.
Strong continuity of semigroup homomorphisms
Let J be an abelian topological semigroup and C a subset of a Banach space X. Let L(X) be the space of bounded linear operators on X and Lip(C) the space of Lipschitz functions ⨍: C → C. We exhibit a large class of semigroups J for which every weakly continuous semigroup homomorphism T: J → L(X) is necessarily strongly continuous. Similar results are obtained for weakly continuous homomorphisms T: J → Lip(C) and for strongly measurable homomorphisms T: J → L(X).
Strong Morita Equivalence of Certain Transformation Group C*-Algebras.
Strong morphisms of groupoids.
Strong reflexivity of Abelian groups
A reflexive topological group is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive.
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...
Strongly differentiable monoids with smooth boundary.
Strongly summable ultrafilters on N and small maximal subgroups of ßN.
Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
Structure de certaines -algèbres associées aux réseaux de
En utilisant la structure infinitésimale des représentations unitaires irréductibles de , nous donnons une description complète de certaines - algèbres associées aux réseaux de , répondant ainsi à certaines questions de Bekka–de La Harpe–Valette.
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...
Subfactors and group representations.
Subgroups and products of -factorizable -groups
We show that every subgroup of an -factorizable abelian -group is topologically isomorphic to a closed subgroup of another -factorizable abelian -group. This implies that closed subgroups of -factorizable -groups are not necessarily -factorizable. We also prove that if a Hausdorff space of countable pseudocharacter is a continuous image of a product of -spaces and the space is pseudo--compact, then . In particular, direct products of -factorizable -groups are -factorizable and...
Subgroups of -factorizable groups.
Subgroups of -factorizable groups
The properties of -factorizable groups and their subgroups are studied. We show that a locally compact group is -factorizable if and only if is -compact. It is proved that a subgroup of an -factorizable group is -factorizable if and only if is -embedded in . Therefore, a subgroup of an -factorizable group need not be -factorizable, and we present a method for constructing non--factorizable dense subgroups of a special class of -factorizable groups. Finally, we construct a closed...