Question

A question about properties of dirac delta function.

Answer 1

there is a property of dirac delta function. I think it can be derive from fourier transform, but i guess, there is something i miss..

Answer 2

what have you missing right?

Answer 3

unfortunately, the pic doesn't make sense to me.

Answer 4

Can you look the first two equations which is about fourier transformation

http://mathworld.wolfram.com/FourierTransform.html

However, in this page they are little bit different than in the other page. equations (240) and (241)

https://people.math.osu.edu/gerlach.1/math/BVtypset/node31.html