H-convex distributions in stratified groups

Bonfiglioli Andrea - Lanconelli Ermanno - Magnani Valentino - Scienza Matteo

year: 2013
journal: Proc. Amer. Math. Soc.
abstract: We extend Dudley’s characterization of convex functions to the framework of h-convex distributions on stratified groups. Precisely, we prove that every distribution with nonnegative horizontal Hessian is defined by an h-convex function.

The paper is available on the cvgmt preprint server.