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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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 …
Jeffrey Case's user avatar
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