/sci/ - Science & Math

>>11483816
Yes. Take [math]\mathcal{S}[/math] the (tempered or compactly supported) test functions, complete it in the convolution product then take the topological dual [math]\mathcal{S}'[/math], you'll find that the Dirac delta is the unit in the algebra of distributions [math]\mathcal{S}'[/math] in the sense that [math]f\ast \delta = f[/math].