- #1
mhill
- 189
- 1
Homework Statement
using the Fourier Transform convolution theorem should be true that
[tex] i^{m+n}D^{m}\delta (u)D^{n}\delta (u)= A \mathcal F _{u}(\int_{-\infty}^{\infty}dt (t-x)^{m}t^{n} ) [/tex]
Homework Equations
- Fourier transform convolution theorem (would be valid for distributions ? )
The Attempt at a Solution
i have thought that although the integrals are divergent , the Convolution theorem should hold no matter if we are dealing with distributions (in fact if one of the functions is a distribution but the other is not the convolution theorem holds for example the case f(x)=1 it Fourier transform is a dirac delta but the convolution integral is well defined.