An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions

Marek Bozejko, Eugene Lytvynov, Irina Rodionova

Let $\nu$ be a finite measure on $\mathbb{R}$ whose Laplace transform is analytic in a neighborhood of zero. An anyon Lévy white noise on $({\mathbb{R}}^d,dx)$ is a certain family of non…