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Results tagged with fa.functional-analysis
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user 40060
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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A Laplacian semi-group estimation
Let $S(t)$ be the semi-group generated by the Dirichlet Laplacian in $L^2(0,1)$, which is given, for $y\in L^2(0,1)$, by
$$S(t)y=\displaystyle\sum_{n=1}^\infty e^{-n^2\pi^2 t} \langle y,\sin(n\pi x) …
- 3,584