Über die Erzeugung von eigentlichen Transformationsgruppen.
Über die Erzeugung von Faltungshalbgruppen auf beliebigen lokalkompakten Gruppen.
Über die Wiener-Eigenschaft bei projektiven Limites lokalkompakter Gruppen.
Über die Zerlegung von Operatoren in topologischen direkten Integralen von Hilberträumen.
Über ein nichtparametrisches Schätzproblem.
Über ein Problem von Reiter und ein Problem von Derighetti zur Eigenschaft P... lokalkompakter Gruppen
Über Fortsetzung positiv definiter Funktionen.
Über Integralzerlegungen von Darstellungen nilpotenter Liegruppen.
Ultra-irreducibility of induced representations.
Una caratterizzazione dei gruppi abeliani compatti o localmente compatti nella topologia naturale
Uniform distribution in locally compact groups.
Uniformely distributed orbits of certain flows on homogeneous spaces.
Uniformly continuous functionals on Banach algebras
Unitary representations induces from compact subgroups
Unitary Representations of a Semi-Direct Product of Lie Groups on ...-Cohomology Spaces.
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Vanishing of the first reduced cohomology with values in an -representation
We prove that the first reduced cohomology with values in a mixing -representation, , vanishes for a class of amenable groups including connected amenable Lie groups. In particular this solves for this class of amenable groups a conjecture of Gromov saying that every finitely generated amenable group has no first reduced -cohomology. As a byproduct, we prove a conjecture by Pansu. Namely, the first reduced -cohomology on homogeneous, closed at infinity, Riemannian manifolds vanishes. We also...
Varieties of Topological Groups Generated by Groups with Invariant Compact Neighbourhoods of the Identity
Varieties of topological groups generated by solvable and nilpotent groups
Varieties of topological groups, Lie groups and SIN-groups
In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups