Learn the basics of white noise theory with White Noise Distribution Theory. This book
covers the mathematical foundation and key applications of white noise theory without …

White noise analysis is an advanced stochastic calculus that has developed extensively
since three decades ago. It has two main characteristics. One is the notion of generalized …

In the recent years Hida's white noise calculus [8] has been established as a Schwartz type
distribution theory on Gaussian space by many authors, for instance, Kubo and Takenaka …

Several results concerning the spaces (E) and (E)* of test and generalized white noise
functionals, respectively, are obtained. The irreducibility of the canonical commutation …

A generalized Laplacian ΔG (K) is defined as a continuous linear operator acting on the
space of test white noise functionals. Operator-parameter-and-transforms on white noise …

An introduction to general theories of stochastic processes and modern martingale theory.
The volume focuses on consistency, stability and contractivity under geometric invariance in …

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 …

In this paper we first construct a two-parameter transformation group G on the space of test
white noise functionals in which the adjoints of Kuo's Fourier and Kuo's Fourier—Mehler …

This paper reports on the characterization of the quantum white noise (QWN) Gross
Laplacian based on nuclear algebra of white noise operators acting on spaces of entire …

In this paper, we give a decomposition of the space of tempered distributions by the Cesàro
norm, and for any we construct directly from the exotic trace an infinite dimensional …