We construct Euclidean random fields X over by convoluting generalized white noise F with
some integral kernels G, as X= G* F. We study properties of Schwinger (or moment) …

Quantum field theory (QFT) is widely viewed as one of the most successful theories in
science—it has predicted phenomena before they were observed in nature 2, and its …

Euclidean quantum fields obtained as solutions of stochastic partial pseudo differential
equations driven by a Poisson white noise have paths given by locally integrable functions …

After recalling basic features of the theory of symmetric quasi regular Dirichlet forms we
show how by applying it to the stochastic quantization equation, with Gaussian space-time …

Elliptic stochastic partial differential equations (SPDE) with polynomial and exponential
perturbation terms defined in terms of Nelson's Euclidean free field on Rd are studied using …

We construct a class of Euclidean invariant distributions Φ H indexed by a function H
holomorphic at zero. These generalized functions can be considered as generalized …

In this paper we study hermitian kernels invariant under the action of a semigroup with
involution. We characterize those hermitian kernels that realize the given action by bounded …

A review of work on the description of generators and processes associated with stochastic
(partial or pseudo-) differential equations driven by general white noises (including jump as …

Fractional Klein–Gordon field at zero and positive temperature can be obtained as an infinite
collection of corresponding fractional oscillators. Free energy associated with the fractional …

On the Essential Self-Adjointness of Wick Powers of Relativistic Fields and of Fields Unitary
Equivalent to Random Fields Page 1 Acta Applicandae Mathematicae 80: 309–334, 2004. © …