Pathway XIII

δDistributions and Schwartz space

The Dirac delta is not a function. It is a linear tester of smooth, rapidly decaying probes.

1. 01The Dirac deltaδ is the distribution that returns f(0). Gaussians of shrinking width approach it.4 min
2. 02Schwartz spaceSmooth functions that die faster than every polynomial grows. The Fourier transform stays inside.4 min