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Results tagged with fa.functional-analysis
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user 121820
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
Why is $\frac{1}{|x|^{n-2}}u(\frac{x}{|x|^2})$ harmonic if $u$ is harmonic?
Here is another explanation which has various generalizations.
Denote by $L = \Delta + \frac{n-2}{4(n-1)}R$ the conformal Laplacian of a Riemannian manifold $(M^n,g)$ (my convention is that $\Delta$ i …
- 1,713
6
votes
Accepted
Spectral theory of infinite volume hyperbolic manifolds
In dimension $n$, there are at most finitely many eigenvalues in $[ 0, (n-1)^2/4 )$ and that the continuous spectrum is $[ (n-1)^2/4 , \infty )$ with no embedded eigenvalues. The following survey art …
- 1,713