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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Re: another or extended version''
by Johan on 2004-02-17 17:47:01 |
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Sounds like your beginning to think about distribution theory here.
(Distributions are linear functional (with some additional properties) on the space of all test functions on a given space, which could be for example $C_0^{\infty}(X)$, which is the set of all infinitely many times differentiable functions on $X$ with compact support.)
Maybe I should point out that by writing $\langle x,u \rangle$ in the theorem, I mean the inner product between the element $x$ and the element $u$ of the Hilbert space.
/Johan
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