Regular Transformation Groups Based on Fourier-Gauss Transforms

preprint2015arXivOpen access

We discuss different representations of the White noise spaces $(E)_β$ , $0 \leq β< 1$ by introducing generalized Wick tensors. As an application we state a generalization of the Mehler formula for the Ornstein-Uhlenbeck semigroup.

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Regular Transformation Groups Based on Fourier-Gauss Transforms

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