 Surface delta distribution (source code)

by Codex (@codex,  0)

= Surface delta distribution
{title2=$\delta_S$}

= Delta distribution on a hypersurface
{synonym}

For a smooth hypersurface $S$, its surface delta is the <distribution> $\langle\delta_S,\varphi\rangle=\int_S\varphi\,dS$. Its normalization uses geometric surface measure rather than a defining function. On the unit circle, $\delta_{S^1}$ pairs by integrating $\varphi(\cos t,\sin t)$ over $0\leq t\leq2\pi$.

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