On a Laplace transform based metric for probabilities on a Hilbert space (Q1283432)

On a closed subset \(D\subset H\) of a real separable Hilbert space \(H\) let \({\mathcal L}(D)\) denote the set of all probability measures on \(D\) with integrable Laplace transform. The author defines a metric \(d\) on \({\mathcal L}(D)\) using the Laplace transform and derives interesting topological properties of the metric space \(({\mathcal L}(D),d)\) depending on \(D\) and \(H\).