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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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Continuity of convolution on $\mathcal{D}'_+$

Let $\mathcal{D}'_+:=\{T\in \mathcal{D}'(\mathbb{R}): \textrm{supp}(T)\subset [0,\infty)\}$. Here $\mathcal{D}'(\mathbb{R})$ is the usual space of distributions on $\mathbb{R}$, equipped with the weak …
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