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Explicit forms of Wick tensor powers in general white noise spaces. (English) Zbl 1002.60069

The construction and investigation of explicit forms of Wick tensor powers in general white noise spaces is given. 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 \(\langle\omega, \xi\rangle\) is infinitely divisible distributed for any \(\xi\in E\) and \(\omega\in E^*\), is obtained.

MSC:

60H40 White noise theory
46F25 Distributions on infinite-dimensional spaces
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