Regular Transformation Groups Based on Fourier-Gauss Transforms
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🧮 math.FA
math-phmath.MPmath.PR
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betaapplicationdifferentdiscussformulafourier-gaussgeneralizationgeneralized
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We discuss different representations of the White noise spaces $(E)_{\beta}$, $0 \leq \beta < 1$ 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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