# Prove that $\lim_{\epsilon \rightarrow 0} \int_{\partial B(x,\epsilon)} \frac{\partial \Phi}{\partial \nu}(y)f(x-y)dy=f(x)$

$$\lim_{\epsilon \rightarrow 0} \int_{\partial B(x,\epsilon)} \frac{\partial \Phi}{\partial \nu}(y)f(x-y)dy=f(x)$$

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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