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Aug 23, 2015 at 13:25 history edited Donu Arapura CC BY-SA 3.0
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Aug 22, 2015 at 13:42 vote accept asv
Aug 22, 2015 at 13:28 history edited Donu Arapura CC BY-SA 3.0
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Aug 22, 2015 at 13:24 comment added Igor Khavkine The $1/|x|$ example is not a good one, since it does have distributional extensions to the real line (cf. Riesz distributions). To get something that does not extend, I believe, you need growth faster than any power law at $0$, like $e^{1/x^2}$. This is discussed in Gel'fand and Shilov's Generalized Functions.
Aug 22, 2015 at 12:45 history answered Donu Arapura CC BY-SA 3.0