Prove that $\lim_{\epsilon \rightarrow 0} \int_{\partial B(x,\epsilon)} \frac{\partial \Phi}{\partial \nu}(y)f(x-y)dy=f(x)$
I'd like to show that
$$\lim_{\epsilon \rightarrow 0} \int_{\partial B(x,\epsilon)} \frac{\partial \Phi}{\partial \nu}(y)f(x-y)dy=f(x)$$
where $\phi$ is the fundamental solution of the laplacian in dimesnion $n\geq 3$ and $f$ is a continuous function.
Mathlearner
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Erdos
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The answer is accepted.
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