The purpose of this book is to give a streamlined introduction to the theory of (not
necessarily symmetric) Dirichlet forms on general state spaces. It includes both the analytic …

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 …

A Characterization of Hida Distributions Page 1 JOURNAL OF FUNCTIONAL ANALYSIS 101,
212-229 (1991) A Characterization of Hida Distributions J. POTTHOFF BiBoS. CJnir~ersil& …

The paper introduces a scale of spaces of test functions and associated distributions in
White Noise Analysis. Special cases of this scale include Hida and Meyer–Yan triples. We …

arXiv:math/0303054v1 [math.FA] 5 Mar 2003 Page 1 arXiv:math/0303054v1 [math.FA] 5
Mar 2003 February 1994 Generalized Functionals in Gaussian Spaces – The …

It is shown that infinite dimensional Dirichlet forms as previously constructed in terms of
(generalized) white noise functionals fit into the general framework of classical Dirichlet …

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 …

Abstract CONTENTS Introduction § 1. Dirichlet forms. Dirichlet operators § 2. Energy forms.
Classical Dirichlet forms § 3. Capacities. Quasi-regular Dirichlet forms and their …

This paper is devoted to new methods of p-adic and ultrametric analysis and their
applications in physics and molecular biology. Although the basic definitions are given in the …