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Convolve a 4D Gaussian function along a plane?

To do like this means that we calculate a convolution between two 2D Gaussian functions: $g[s](u|c_0,\mu_0,\Sigma_0)\bigotimes g(u|c',\mu',\Sigma')=g[s](u|c_1,\mu_1,\Sigma_1)=F(u,s)$ But is the convolved … I am thinking about another method to deal with this question is that we regard the convolution kernel $g(u|c',\mu',\Sigma')$ as a 4D function by extending its covariance matrix to a 4x4 matrix $\begin …
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