Classification of probability measures in terms of canonically associated commutation relations
Luigi Accardi · Cineca Institutional Research Information System (Tor Vergata University) · 2007
The present paper is a survey of recent developments, mostly due to H. H. Kuo, A. Stan and myself on the new approach to the theory of multidimensional orthogonal polynomials based on Interacting Fock Spaces (IFS).The starting point of these developments was the remark that some Interacting Fock Spaces are canonically associated to orthogonal polynomials in (in general infinitely) many variables and that, in the 1-variable case, the correspondence is one-to-one.1 Interacting Fock Spaces: intuitive idea