An extension of Wick's theorem

Details An extension of Wick's theorem An extension of Wick's theorem

2007-09-13

arxiv.org/abs/0709.1999v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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.

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