Since [itex]C_0^\infty[/itex] (the space of smooth functions with compact support) is reflexive, we should, in theory, be able to identify every distribution (object that lives in the dual space [itex]C_0^{\infty '}[/itex]) with a corresponding actual function in [itex]C_0^\infty[/itex]. Is it all interesting or useful to do so?(adsbygoogle = window.adsbygoogle || []).push({});

For example, a constant function can be interpreted as a distribution. Then what is the corresponding smooth function with compact support for the constant function?

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# Distribution interpretation

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