Locally p-admissible measures on R

Admissible Representations of Probability Measures

In a recent paper, probabilistic processes are used to generate Borel probability measures on topological spaces X that are equipped with a representation in the sense of Type-2 Theory of Effectivity. This gives rise to a natural representation of the set M(X) of Borel probability measures on X. We compare this representation to a canonically constructed representation which encodes a Borel pro...

Duality for Admissible Locally Analytic Representations

We study the problem of constructing a contragredient functor on the category of admissible locally analytic representations of p-adic analytic group G. A naive contragredient does not exist. As a best approximation, we construct an involutive “duality” functor from the bounded derived category of modules over the distribution algebra of G with coadmissible cohomology to itself. on the subcateg...

P-Amenable Locally Compact Hypergroups

Admissible and Singular Translates of Measures on Vector Spaces

We provide a general setting for studying admissible and singular translates of measures on linear spaces. We apply our results to measures on D[0, 1]. Further, we show that in many cases convex, balanced, bounded, and complete subsets of the admissible translates are compact. In addition, we generalize Sudakov's theorem on the characterization of certain quasi-invariant sets to separable refle...

Admissible vector fields and quasi-invariant measures∗