mollifier
A mollifier is a smooth function^{} $f:{\mathbb{R}}^{n}\to \mathbb{R}$ such

1.
$f(x)\ge 0$ for all $x\in {\mathbb{R}}^{n}$,

2.
$f$ is normalized such that
$${\int}_{{\mathbb{R}}^{n}}f(x)\mathit{d}x=1,$$ 
3.
$f(0)=1$.
Title  mollifier 

Canonical name  Mollifier 
Date of creation  20130322 15:01:58 
Last modified on  20130322 15:01:58 
Owner  matte (1858) 
Last modified by  matte (1858) 
Numerical id  7 
Author  matte (1858) 
Entry type  Definition 
Classification  msc 2600 