A General Character Formula for Irreducible Projections on L2 of a Nilmanifold.
A Note on L-sets
Answering a question of Pisier, posed in [10], we construct an L-set which is not a finite union of translates of free sets.
A Perron FrobeniusTheory for Representations of Locally Compact Abelian Groups.
A property for locally convex *-algebras related to property (T) and character amenability
For a locally convex *-algebra A equipped with a fixed continuous *-character ε (which is roughly speaking a generalized F*-algebra), we define a cohomological property, called property (FH), which is similar to character amenability. Let be the space of continuous functions with compact support on a second countable locally compact group G equipped with the convolution *-algebra structure and a certain inductive topology. We show that has property (FH) if and only if G has property (T). On...
A uniformly bounded representation associated to a free set in a discrete group
An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups
We classify the hulls of different limit-periodic potentials and show that the hull of a limit-periodic potential is a procyclic group. We describe how limit-periodic potentials can be generated from a procyclic group and answer arising questions. As an expository paper, we discuss the connection between limit-periodic potentials and profinite groups as completely as possible and review some recent results on Schrödinger operators obtained in this...
Applications de la p-induction en analyse harmonique.
Automatic continuity of operators commuting with translations
Let and be representations of a topological group G on Banach spaces X and Y, respectively. We investigate the continuity of the linear operators Φ: X → Y with the property that for each t ∈ G in terms of the invariant vectors in Y and the automatic continuity of the invariant linear functionals on X.
Beurling-Figà-Talamanca-Herz algebras
For a locally compact group G and p ∈ (1,∞), we define and study the Beurling-Figà-Talamanca-Herz algebras . For p = 2 and abelian G, these are precisely the Beurling algebras on the dual group Ĝ. For p = 2 and compact G, our approach subsumes an earlier one by H. H. Lee and E. Samei. The key to our approach is not to define Beurling algebras through weights, i.e., possibly unbounded continuous functions, but rather through their inverses, which are bounded continuous functions. We prove that...
Coherent states of the 1+1 dimensional Poincaré group : square integrability and a relativistic Weyl transform
Continuity of Locally Compact Group Actions with Measurable Orbit Maps.
Definisierbare Funktionen auf Gruppen [Book]
Extensions de plusieurs représentations des groupes produits semi-directs
Extensions des représentations des groupes de Lie construites par M. Duflo.
Filtre moyennant et valeurs moyennes des capacités invariantes
Group representations in non-archimedean Banach spaces
Group Representations which Vanish at Infinity.
Groupes localement compacts
Groups acting on trees : from local to global structure
Lattices in product of trees