THE LÉVY LAPLACIAN ACTING ON POISSON NOISE FUNCTIONALS
Kimiaki Saitô, Allanus H. Tsoi · Infinite Dimensional Analysis Quantum Probability and Related Topics · 1999
In this paper we shall discuss the Lévy Laplacian acting on the space of Poisson noise functionals. We give eigenfunctions of the Laplacian and extend the operator to a self-adjoint operator densely defined on some Hilbert space.