White noise theory allows to formulate quantum white noises explicitly as elemental
quantum stochastic processes. A traditional quantum stochastic differential equation of Itô …

Duality is established for new spaces of entire functions in two infinite dimensional variables
with certain growth rates determined by Young functions. These entire functions characterize …

The quantum stochastic integral of Itô type formulated by Hudson and Parthasarathy is
extended to a wider class of adapted quantum stochastic processes on Boson Fock space …

Recent developments in quantum white noise calculus are outlined on the basis of various
characterization theorems for operator symbols. A quantum stochastic integral and a …

We revisit a CKS-space from the viewpoint of standard setup of white noise calculus and
prove a general characterization theorem for white noise operators from a CKS-space into …

In recent years operator theory over white noise functions has been considerably studied
keeping close contacts with infinite dimensional harmonic analysis [5, 7, 13, 17], Cauchy …

As a generalization of a quantum stochastic differential equation, a normal-ordered white
noise differential equation involving quadratic quantum white noises are formulated on the …

A rigged Hilbert space formalism is introduced to study Fock space operators. The symbols
of continuous operators on a rigged Fock space are characterized in terms of Bargmann …

We introduce a new product of two test functions denoted by f□ g (where f and g in the
Schwartz space 𝒮 (ℝ)). Based on the space of entire functions with θ-exponential growth of …

Using a general approach that covers the cases of Gaussian, Poissonian, Gamma, Pascal
and Meixner measures, we consider an extended stochastic integral and construct elements …