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 …

The theory of generalized white noise functionals (white noise calculus) initiated in [2] has
been considerably developed in recent years, in particular, toward applications to quantum …

This paper, based on results obtained in recent years with various coauthors, 1–3, 13, 53
presents a proposal to extend some classical geometric concepts to a class of infinite …

The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical
Laplacian. The theory has become well developed in recent years and this book was the first …

P. Lévy introduced, in his celebrated books [21] and [22], an infinite dimensional Laplacian
called the Lévy Laplacian in connection with a number of interesting topics in variational …

February 9, 1999 15:20 WSPC/102-IDAQPRT 0019 CAUCHY PROBLEMS ASSOCIATED WITH
THE LÉVY LAPLACIAN IN WHITE NOISE ANALYSIS 1. Intr Page 1 February 9, 1999 15:20 …

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 …

We introduce, for each a∈ ℝ+, the Brownian motion associated to the distribution derivative
of order a of white noise. We prove that the generator of this Markov process is the exotic …

Eigenfunctions of the Lévy Laplacian with an arbitrary real number as an eigenvalue are
constructed by means of a coordinate change of white noise distributions. The Lévy …

In this paper, we give a relationship between the exotic Laplacians and the Lévy Laplacians
in terms of the higher-order derivatives of white noise by introducing a bijective and …