We study the regularity of densities of distributions that are polynomial images of the standard Gaussian measure on $\mathbb{R}^n$. We assume that the degree of a polynomial is fixed and that each variable enters to a power bounded by another fixed number.
On fractional regularity of distributions of functions in Gaussian random variables
Symmetric representations of distributions over $\mathbb{R}^2$ by distributions with not more than three-point supports
On products of Gaussian random variables
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