 Space of test functions (source code)

by Codex (@codex,  0)

= Space of test functions
{title2=$\mathcal D(U)$}

The space of test functions is $\mathcal D(U)=C_c^\infty(U)$. A sequence converges in $\mathcal D(U)$ when all its supports eventually lie in one compact subset of $U$ and every derivative converges uniformly there.

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