and operator algebras.
Haar measure and continuous representations of locally compact abelian groups
Let (X) be the algebra of all bounded operators on a Banach space X, and let θ: G → (X) be a strongly continuous representation of a locally compact and second countable abelian group G on X. Set σ¹(θ(g)): = λ/|λ| | λ ∈ σ(θ(g)), where σ(θ(g)) is the spectrum of θ(g), and let be the set of all g ∈ G such that σ¹(θ(g)) does not contain any regular polygon of (by a regular polygon we mean the image under a rotation of a closed subgroup of the unit circle different from 1). We prove that θ is uniformly...
Halbeinfache Automorphismengruppen von vierdimensionalen stabilen Ebenen sind quasi-einfach.
Harmonic analysis and unitary group representations : the development from 1927 to 1950
Harmonic analysis of Abelian inner automorphism groups of von Neumann algebras.
Harmonic induction on Lie groups.
Harmonic properties of the sum-of-digits function for complex bases
Hausdorff-Maße von Summenmengen. I.
Hausdorff-Maße von Summenmengen. II:
Hilbert-Smith Conjecture for K - Quasiconformal Groups
MSC 2010: 30C60A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.
Homomorphisms of ergodic group actions and conjugacy of skew product actions.