English

Standardizing densities on Gaussian spaces

Probability 2017-05-22 v1

Abstract

In the present note we investigate the problem of standardizing random variables taking values on infinite dimensional Gaussian spaces. In particular, we focus on the transformations induced on densities by the selected standardization procedure. We discover that, under certain conditions, the Wick exponentials are the key ingredients for treating this kind of problems.

Keywords

Cite

@article{arxiv.1705.07043,
  title  = {Standardizing densities on Gaussian spaces},
  author = {Alberto Lanconelli},
  journal= {arXiv preprint arXiv:1705.07043},
  year   = {2017}
}

Comments

12 pages

R2 v1 2026-06-22T19:52:41.370Z