English

Regular Transformation Groups Based on Fourier-Gauss Transforms

Functional Analysis 2016-08-31 v1 Mathematical Physics math.MP Probability

Abstract

We discuss different representations of the White noise spaces (E)β(E)_{\beta}, 0β<10 \leq \beta < 1 by introducing generalized Wick tensors. As an application we state a generalization of the Mehler formula for the Ornstein-Uhlenbeck semigroup.

Keywords

Cite

@article{arxiv.1504.08157,
  title  = {Regular Transformation Groups Based on Fourier-Gauss Transforms},
  author = {Maximilian Bock and Wolfgang Bock},
  journal= {arXiv preprint arXiv:1504.08157},
  year   = {2016}
}
R2 v1 2026-06-22T09:25:41.029Z