International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 7, Pages 413-420
doi:10.1155/S0161171202012632
Explicit forms of Wick tensor powers in general white noise spaces
Zhiyuan Huang
, Xiaoshan Hu
and Xiangjun Wang
Huazhong University of Science and Technology, Hubei, Wuhan 430074, China
Abstract
This paper is devoted to construction and investigation of explicit forms of Wick tensor powers in general white noise spaces. We give an extension of some objects and structure of Gaussian analysis to the case of more general white noise measures on E* (the dual of a nuclear space E), such that the random variable 〈ω,ξ〉 is infinitely divisible distributed for any ξ∈E and ω∈E*.