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Results tagged with fa.functional-analysis
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user 128952
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
7
votes
2
answers
423
views
On the Fourier-Laplace transform of compactly supported distributions
Let $\mathcal{E}'(\mathbb{R})$ be the space of all compactly supported distributions on $\mathbb{R}$.
For $f\in \mathcal{E}'(\mathbb{R})$, let $\widehat{f}$ denote the entire extension of the Fouri …
- 191
4
votes
1
answer
110
views
Is convolution jointly continuous on $\mathcal{E}'$?
Let $\mathcal{E}'(\mathbb{R})$ be equipped with its usual strong topology (being the dual space of $\mathcal{E}(\mathbb{R})$). Is convolution jointly continuous on $\mathcal{E}'(\mathbb{R})$?
- 191