Admissible and singular translates of measures on vector spaces

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∗

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Fusion in coset CFT from admissible singular-vector decoupling

0 Fusion in coset CFT from admissible singular - vector decoupling

Fusion rules for Wess-Zumino-Witten (WZW) models at fractional level can be defined in two ways, with distinct results. The Verlinde formula yields fusion coefficients that can be negative. These signs cancel in coset fusion rules, however. On the other hand, the fusion coefficients calculated from decoupling of singular vectors are non-negative. They produce incorrect coset fusion rules, howev...