Surjective Kuiper isometries

Abstract

Characterizations of surjective isometries with respect to the Kuiper distance on three classes of Borel probability measures of $\mathbb{R}$ (or equivalently, probability distribution functions) are presented here. These classes are the set of continuous, absolute continuous and general measures.

15 pages, to appear, Houston Journal of Mathematics, 2017

Cited by in corpus (1)

• On isometric embeddings of Wasserstein spaces -- the discrete case