In a book on QM are listed a few properties of the delta function, one of which is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] x \delta^{-1}(x) = - \delta(x) [/tex]

I can't figure out how to interpret that? Putting the statement in integral form isn't particularily enlightening looking:

[tex]

f(x) = \int f(x-x') \delta(x') dx' =

\int -x' \delta^{-1}(x') f(x - x') dx'

[/tex]

any hint what this property is about or how one would show it?

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# Inverse of a delta function.

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