Lemma 12.4.10 (Approximate Identity Smoothing).label Let $f\in\cali{S}(\R^{n})$ then $f*g_{\e}\to f$ uniformly as $\e\to 0$.[1]
Proof. By Lemma 12.4.9$\square$
- $g_{\e}$ is a mollifier or “approximate identity” in the convolution algebrakeyboard_return
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