Subgroups of Hilbert spaces.
Subhypergroups and Normal Subgroups.
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.
Subprincipal closed ideals in ßN.
Subvarieties of parallelizable manifolds.
Sui gruppi abeliani ridotti che ammettono una unica topologia compatta
Sul completamento di un gruppo abeliano nella topologia dei sottogruppi di indice finito
Sul la theorie de la dimension dans les hypergroupes
Sulla uniformità naturale nei gruppi topologici
Summable families in nuclear groups
Nuclear groups form a class of abelian topological groups which contains LCA groups and nuclear locally convex spaces, and is closed with respect to certain natural operations. In nuclear locally convex spaces, weakly summable families are strongly summable, and strongly summable are absolutely summable. It is shown that these theorems can be generalized in a natural way to nuclear groups.
Summable Family in a Commutative Group
Hölzl et al. showed that it was possible to build “a generic theory of limits based on filters” in Isabelle/HOL [22], [7]. In this paper we present our formalization of this theory in Mizar [6]. First, we compare the notions of the limit of a family indexed by a directed set, or a sequence, in a metric space [30], a real normed linear space [29] and a linear topological space [14] with the concept of the limit of an image filter [16]. Then, following Bourbaki [9], [10] (TG.III, §5.1 Familles sommables...
Summable subsequences in convergence groups
Sums equal to products in ßN.
Sums of adjoint orbits.
Sums of idempotents in ßN.
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.