I know that the singular support of $\delta(x)$ is $\{0\}$. Now, I want to calculate the singular support of $\delta(x-y)$, where this is a distribution acting on $\mathcal{S}(\mathbb{R}^n) \otimes \mathcal{S}(\mathbb{R}^n)$? I am assuming there is no smooth function locally representing this distribution, but I have no idea how to start.
2026-03-25 14:15:02.1774448102
Calculation of singular support
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