I am trying to compute an integral $$\frac{1}{(2 \pi)^n} \int e^{-\frac{1}{2}\boldsymbol{k}^T\Sigma\boldsymbol{k} + i (\boldsymbol{\mu}-\boldsymbol{x})} V(\boldsymbol{x}) \boldsymbol{k} d\boldsymbol{x} d\boldsymbol{k},$$ where the $\boldsymbol \mu$ and $\boldsymbol \Sigma$ are parameters of a multi-variate Normal distribution. I am expecting the result equals to $0$, but cannot find out how to get it. Could anyone give me some help? Thanks. :)
2026-04-01 15:12:20.1775056340
Any idea on how to compute this integral?
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