The Current Galilei Algebra and Associated Random Variables

New Zealand Journal of Mathematics (Online)

Luigi Accardi ; Andreas Boukas

关键词: Galilei algebra;    Heisenberg algebra;    Central extension;    Fock representation;    Fock kernel;    Renormalized Higher Powers of White Noise;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

We compute the Fock kernel for the one-mode (i.e. restricted to a single interval) and current (i.e. extended to simple functions) Galilei algebra.We also compute the characteristic function of a family of random variables naturally associated with the Galilei algebra.

【 授权许可】

Unknown