We develop a combinatorial version of harmonic analysis on configuration spaces over
Riemannian manifolds. Our constructions are based on the use of a lifting operator which …

This review is devoted to the universal algebraic and geometric properties of the non-
relativistic quantum current algebra symmetry and to their representations subject to …

We study the spaces of Poisson, compound Poisson and Gamma noises as special cases of
a general approach to non-Gaussian white noise calculus, see Ref. 18. We use a known …

It is well known that between all processes with independent increments, essentially only the
Brownian motion and the Poisson process possess the chaotic representation property …

The paper is devoted to the study of Gamma white noise analysis. We define an extended
Fock space ℱ ext (ℋ) over ℋ= L2 (ℝd, dσ) and show how to include the usual Fock space ℱ …

Employing the Segal–Bargmann transform (S-transform for abbreviation) of regular Lévy
white noise functionals, we define and study the generalized Lévy white noise functionals by …

Let S′ be the space of tempered distributions on R and Λ the Lévy noise measure on S′.
In this paper, we derive the closed form of the Segal–Bargmann transform (or the S …

This review is devoted to the universal algebraic and geometric properties of the
nonrelativistic quantum current algebra symmetry and to their representations subject to …

In this paper we carry out analysis and geometry for a class of infinite dimensional
manifolds, namely, compound configuration spaces as a natural generalization of the …

In this paper white noise analysis with respect to the Lévy process with negative binomial
distributed marginals is investigated. An appropriate space of distributions, ℰ′, is used to …