state convolution property in relation to fourier transform
Convolution theorem In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution is the pointwise product of Fourier transforms. In other words, convolution in one domain (e.g., time domain) equals point-wise multiplication in the other domain (e.g., frequency domain). Versions of the convolution theorem are true for various Fourier-related transforms. Let   f  {\displaystyle f}  and   g  {\displaystyle g}  be two functions with convolution   f ∗ g  {\displaystyle f*g} . (Note that the asterisk denotes convolution in this context, and not multiplication. The tensor product symbol   ⊗  {\displaystyle \otimes }  is sometimes used instead.)