Polynomial-growth Liouville theorem for harmonic functions
= Polynomial-growth Liouville theorem for harmonic functions
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If an entire harmonic function on $\mathbb R^n$ grows like $O(1+|x|^{k+\alpha})$ with $k\in\mathbb N$ and $0<\alpha<1$, then it is a harmonic polynomial of degree at most $k$. Apply the interior derivative estimate of order $k+1$ on expanding balls.
= Harmonic
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