Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem

Abstract

It is proved that the Poisson measure is a spectral measure of some family of commuting selfadjoint operators acting on a space constructed from some generalization of the moment problem.

arXiv commentPublished in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=912