Abstract
We introduce a one-mode type interacting Fock space F-NB(H) naturally associated to the negative binomial distribution The Fourier transform in generalized joint eigenvectors of a family {J phi; phi is an element of epsilon of Pascal Jacobi fields provides a way to explicit a unitary isomorphism (sic)(r,a) between F-NB(H) and the so-called Pascal white noise space L-2(epsilon',Lambda(r,alpha)) Then, we derive a chaotic decomposition property of the quadratic integrable functionals of the Pascal white noise process in terms of an appropriate wick tensor product.