A variational representation for random functionals on abstract Wiener spaces

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

Representation, relaxation and convexity for variational problems in Wiener spaces

The aim of this paper is to study the convexity of the minimizers of some variational problems in Wiener spaces. In the Euclidean setting convexity is a widely discussed issue [25]. Recently, following previous work by Korevaar [26] and Alvarez, Lasry and Lions [2], Alter, Caselles and Chambolle [1, 12] showed the convexity of solutions to variational problems involving functionals with linear ...

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

Variational Splines and Paley-Wiener Spaces on Combinatorial Graphs

Notions of interpolating variational splines and Paley-Wiener spaces are introduced on a combinatorial graph G. Both of these definitions explore existence of a combinatorial Laplace operator on G. The existence and uniqueness of interpolating variational spline on a graph is shown. As an application of variational splines the paper presents a reconstruction algorithm of PaleyWiener functions o...

Linear Functionals and Integrals in Abstract Spaces

In his addendum to Saks, Theory of the Integral, Banach considers a Lebesgue integral defined in a manner quite similar to that of Daniell and remarks that no use is made of a measure. I t is, however, quite easy to show that Banach's and Daniell's integrals are expressible as Lebesgue integrals whose measure functions are regular outer measures in the sense of Carathéodory. In the first two se...