Some Hardy type inequalities in the Heisenberg group.
Some large and small sets in topological groups.
Some linear groups virtually having a free quotient.
Some Minimal Group Topologies are Precompact.
Some nonzero cohomology of discrete groups.
Some oscillatory integrals and their applications
Some properties of Carnot-Carathéodory balls in the Heisenberg group
Using the exact representation of Carnot-Carathéodory balls in the Heisenberg group, we prove that: 1. in the classical sense for all with , where is the distance from the origin; 2. Metric balls are not optimal isoperimetric sets in the Heisenberg group.
Some properties of groups without the property P1.
Some relations among volume, intrinsic perimeter and one-dimensional restrictions of functions in Carnot groups
Let be a -step Carnot group. The first aim of this paper is to show an interplay between volume and -perimeter, using one-dimensional horizontal slicing. What we prove is a kind of Fubini theorem for -regular submanifolds of codimension one. We then give some applications of this result: slicing of functions, integral geometric formulae for volume and -perimeter and, making use of a suitable notion of convexity, called-convexity, we state a Cauchy type formula for -convex sets. Finally,...
Some Remarks on Automorphisms of Bounded Displacement and Bounded Cocycles.
Some remarks on C*-bigebras and duality.
Some remarks on induced representations of infinite discrete groups.
Some Remarks on Invariant Means.
Some Remarks on L1(G).
Some remarks on subgroups defined by the Bohr compactification.
Some remarks on topologically semiprime ideals
Some representations of affine conformal transformations of Minkowski space.
Some results on submodules of
Some Results on Affine Transformations of Compact Groups.
Some results on compact convergence semigroups defined by filters.