An extension of Wick's theorem
Statistical Mechanics
2007-09-14 v1
Abstract
We propose an extension of a result by Repetowicz et al. about Wick's theorem and its applications: we first show that Wick's theorem can be extended to the uniform distribution on the sphere and then to the whole class of elliptical distributions. Then, as a special case, we detail this result for distributions that are Gaussian scale mixtures. Finally, we show that these results allow to recover easily a theorem by Folland about integration of polynomials over the sphere.
Cite
@article{arxiv.0709.1999,
title = {An extension of Wick's theorem},
author = {C. Vignat and S. Bhatnagar},
journal= {arXiv preprint arXiv:0709.1999},
year = {2007}
}