On Integrable Representations.
On LCA groups each of whose characters is ultimately measurable
On Local Central Lacunary Sets for Compact Lie Groups.
On Mackey topology for groups
The present paper is a contribution to fill in a gap existing between the theory of topological vector spaces and that of topological abelian groups. Topological vector spaces have been extensively studied as part of Functional Analysis. It is natural to expect that some important and elegant theorems about topological vector spaces may have analogous versions for abelian topological groups. The main obstruction to get such versions is probably the lack of the notion of convexity in the framework...
On Separation in Reduced Duals of Groups with Compact Invariant Neighbourhoods of the Identity.
On the behaviour of sequences in the dual of a nilpotent Lie group.
On the support of the conjugation representation for solvable locally compact groups.
Open subgroups and Pontryagin duality.
Power boundedness in Banach algebras associated with locally compact groups
Let G be a locally compact group and B(G) the Fourier-Stieltjes algebra of G. Pursuing our investigations of power bounded elements in B(G), we study the extension property for power bounded elements and discuss the structure of closed sets in the coset ring of G which appear as 1-sets of power bounded elements. We also show that L¹-algebras of noncompact motion groups and of noncompact IN-groups with polynomial growth do not share the so-called power boundedness property. Finally, we give a characterization...
Produit croisé d'une algèbre de Kac par un groupe localement compact
Projections of Orbits and Asymptotic Behavior of Multiplicities for Compact Connected Lie Groups.
Quotient groups of non-nuclear spaces for which the Bochner theorem fails completely
It is proved that every real metrizable locally convex space which is not nuclear contains a closed additive subgroup K such that the quotient group G = (span K)/K admits a non-trivial continuous positive definite function, but no non-trivial continuous character. Consequently, G cannot satisfy any form of the Bochner theorem.
Remarks on Characters of Discrete Nilpotent Groups.
Separable translation-invariant subspaces of M(G) and other dual spaces on locally compact groups
Sets of interpolation for Fourier transforms of bimeasures
Sidon sets and Fourier-Stieltjes transforms of some prime L-ideals.
Sidon sets in dual objects of compact groups
Sidon Sets on Compact Groups.
Some types of lacunary Fourier series
Strict-2-associatedness for thin sets