$ u *v $ of two functions $ u,v ∈ L^1(Z(N)) $
I know the problem wants me to show that convolution is turned into multiplication but he is doing it in reference to set theory I think? I am not sure how to verify this.
He introduced set theory to try and teach fourier transforms. I have never had to do fourier transforms with set theory in this manor. I also have not done set theory in 3 years so I am struggling on the basic approach to this problem. Any help is appreciated.