Let \(\Omega\in \mathbb{R}^n\) be a domain and \(x\in \Omega\). The map \(\delta_x\colon \mathcal{D}(\Omega)\to \mathbb{R}\) with \(\delta_x(\varphi)=\varphi(x)\) is a distribution .
Remarks
Let \(\Omega\in \mathbb{R}^n\) be a domain and \(x\in \Omega\). The map \(\delta_x\colon \mathcal{D}(\Omega)\to \mathbb{R}\) with \(\delta_x(\varphi)=\varphi(x)\) is a distribution .