Regular Transformation Groups Based on Fourier-Gauss Transforms

2015/04/30 by Maximilian Bock, Bock, Maximilian, Wolfgang Bock +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.FA #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1504.08157

arxiv created 2015/04/30 · arxiv updated 2016/08/31

Abstract

We discuss different representations of the White noise spaces (E)_β, 0 ≤ 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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