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Results tagged with fa.functional-analysis
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user 123448
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
2
answers
741
views
smooth functions on closed intervals with values in infinite-dimensional spaces
There are three ways to define when a ($\mathbb{R}$-valued) function on a closed interval is smooth:
$f$ can be extended to a smooth function on $(a - \epsilon, b + \epsilon)$ for some $\epsilon > 0$ …
- 1,141
3
votes
1
answer
1k
views
Friedrichs mollifiers and Sobolev spaces
$\renewcommand{\epsilon}{\varepsilon}$The following is from John Roe's book Elliptic operators, topology and asymptotic methods. $S$ is a vector bundle on a compact manifold $M$, but I think for my qu …
- 1,141