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Results tagged with fa.functional-analysis
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user 19152
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
5
votes
Accepted
How to use DFT to solve this minimization problem?
You need to minimize the objective function
$$f:S \mapsto \| S-I\|_2^2+\beta(\| \partial_xS-h\|^2_2+\|\partial_yS-v\|_2^2) $$
where $\| \cdot \|_2$ is the "entrywise" $\ell^2$ norm. This is done as …
- 86
2
votes
1
answer
555
views
Optimal Sobolev Inequality in Bounded Domains
The best constants of the Sobolev inequalities on the whole Euclidian space are known and even the functions realizing the equality can be computed. Is there any result of this type in bounded domains …
- 86