English

The Characteristic Function of the Cube of a Gaussian Random Variable

Probability 2025-08-12 v1 Mathematical Physics math.MP

Abstract

Using the spectral resolution of the multiplication operator on the Schwartz class of L2(R,C)L^2(\mathbb{R},\mathbb{C}), we compute the characteristic function of the cube of a Gaussian random variable.

Cite

@article{arxiv.2508.07324,
  title  = {The Characteristic Function of the Cube of a Gaussian Random Variable},
  author = {Andreas Boukas},
  journal= {arXiv preprint arXiv:2508.07324},
  year   = {2025}
}
R2 v1 2026-07-01T04:43:05.046Z