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Standardizing densities on Gaussian spaces
Alberto Lanconelli · 2017-05-19 · via math.PR updates on arXiv.org

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.