This book contains an introductory and comprehensive account of the theory of (symmetric)
Dirichlet forms. Moreover this analytic theory is unified with the probabilistic potential theory …

The infinite dimensional analysis as a branch of mathematical sciences was formed in the
late 19th and early 20th centuries. Motivated by problems in mathematical physics, the first …

In this article we develop a new approach to construct solutions of stochastic equations with
merely measurable drift coefficients. We aim at demonstrating the principles of our technique …

An approach to infinite-dimensional integration which unifies the case of oscillatory integrals
and the case of probabilistic type integrals is presented. It provides a truly infinite …

The main notions and tools from white noise analysis are set up on the basis of the calculus
of Gaussian random variables and the S-transform. A new proof of the formula for the S …

Loosely speaking, a coarse-grained space is a space in which the generic point is not
infinitely thin, but rather has a thickness; and here this feature is modelled as a space in …

We study a family of stationary increment Gaussian processes, indexed by time. These
processes are determined by certain measures σ (generalized spectral measures), and our …

The classical polynomials of Meixner's type—Hermite, Charlier, Laguerre, Meixner, and
Meixner–Pollaczek polynomials—are distinguished through a special form of their …

In this article we construct a large class of interacting Euclidean quantum field theories, over
a p-adic space time, by using white noise calculus. We introduce p-adic versions of the …

Using JMP format Page 1 Stochastic mechanics and the Feynman integral Michele Pavona)
Dipartimento di Elettronica e Informatica, Universita` di Padova, via Gradenigo 6/A, and …