A characterization of the arc by means of the C-index of itssemigroup.
A characterization of the minimal strongly character invariant Segal algebra
For a locally compact, abelian group , we study the space of functions on belonging locally to the Fourier algebra and with -behavior at infinity. We give an abstract characterization of the family of spaces abelian by its hereditary properties.
A class of semigroups having almost trivial multiplications.
A class of solvable non-homogeneous differential operators on the Heisenberg group
In [8], we studied the problem of local solvability of complex coefficient second order left-invariant differential operators on the Heisenberg group ℍₙ, whose principal parts are "positive combinations of generalized and degenerate generalized sub-Laplacians", and which are homogeneous under the Heisenberg dilations. In this note, we shall consider the same class of operators, but in the presence of left invariant lower order terms, and shall discuss local solvability for these operators in a complete...
A classification of ideals in crossed products.
A classification of multiplicity free representations.
A classification of strictly pseudoconcave homogeneous manifolds
A closed category of reflexive topological abelian groups
A coarse convergence group need not be precompact
A combinatorial proof of the extension property for partial isometries
We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.
A comparison theorem for -homology
A Comparison Theory for the Structure of Induced Representations II.
A complete analogue of Hardy's theorem on semisimple Lie groups
A result by G. H. Hardy ([11]) says that if f and its Fourier transform f̂ are and respectively for some m,n ≥ 0 and α > 0, then f and f̂ are and respectively for some polynomials P and P’. If in particular f is as above, but f̂ is , then f = 0. In this article we will prove a complete analogue of this result for connected noncompact semisimple Lie groups with finite center. Our proof can be carried over to the real reductive groups of the Harish-Chandra class.
A completion functor for Cauchy groups.
A concavity property for the measure of product sets in groups
Let G be a connected locally compact group with a left invariant Haar measure μ. We prove that the function ξ(x) = inf μ̅(AB): μ(A) = x is concave for any fixed bounded set B ⊂ G. This is used to give a new proof of Kemperman’s inequality for unimodular G.
A connected complex simple centerfree Lie group whose exponential function is not surjective.
A connected Lie group equals the square of the exponential image.
A construction of compact right topological semigroups from compact groups.
A Construction of Representations of Weyl Groups.
A construction of unitary representations in parabolic rank two