%A Yong CHEN, Yong LIU %T COMPLEX WIENER-ITÔ CHAOS DECOMPOSITION REVISITED %0 Journal Article %D 2019 %J Acta mathematica scientia,Series B %R 10.1007/s10473-019-0311-6 %P 797-818 %V 39 %N 3 %U {http://121.43.60.238/sxwlxbB/CN/abstract/article_15893.shtml} %8 2019-06-25 %X In this article, some properties of complex Wiener-Itô multiple integrals and complex Ornstein-Uhlenbeck operators and semigroups are obtained. Those include Stroock's formula, Hu-Meyer formula, Clark-Ocone formula, and the hypercontractivity of complex Ornstein-Uhlenbeck semigroups. As an application, several expansions of the fourth moments of complex Wiener-Itô multiple integrals are given.