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Timeline for Finite dimension implies regularity

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Dec 6, 2013 at 23:12 comment added paul garrett Ah, here it's just that the map $\mathbb R \times X \to X$ by $r\cdot f\to f$-translated-by-$r$ is (jointly) continuous, where the "Lie group" is $\mathbb R$ and $X$ is the TVS.
Dec 6, 2013 at 22:32 comment added smyrlis What is a repn?
Dec 5, 2013 at 23:31 comment added paul garrett One possibly must puzzle out the potential seeming-paradox of the fact that distributions are (distributionally) infinitely-differentiable, so in certain circumstances can be "smooth vectors". But this (correct) argument, when examined in detail, does not subvert the application to the question.
Dec 5, 2013 at 23:13 history answered paul garrett CC BY-SA 3.0