Random functionals on K{M_{p}} spaces

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

Minimizing Functionals on Normed - linear Spaces

This paper extends results of [1], [2], of Goldstein, and [3] of Vainberg concerning steepest descent and related topics. An example Is given taken from a simple rendezvous problem in control theory. The problem is one of minimizing a norm on an affine subspace. The problem here is solved in the primal. A solution in the dual is given by Neustadt [4]. I. GENERATION OF MINIMIZING SEQUENCES Let E...

Estimates on Path Functionals over Wasserstein Spaces

In this paper we consider the class a functionals (introduced in [BBS]) Gr,p(γ) defined on Lipschitz curves γ valued in the p-Wasserstein space. The problem considered is the following: given a measure μ, give conditions in order to assure the existence a curve γ such that γ(0) = μ, γ(1) = δx0 , and Gr,p(γ) < +∞. To this end, new estimates on Gr,p(μ) are given and a notion of dimension of a mea...

Linear Functionals on Certain Banach Spaces

a representation for characteristic functionals of stable random measures with values in sazonov spaces