Hi, if you can help with this exercise, with a step-by-step answer or well-explained, that would be great.
If we denote the Fourier transform for tempered distributions of the operator S'->S' defined by <T,u>=<T,U>, when F{T}=T Symmetry Property Left uE S.1n that case, if T{u(x)}=U(Y), you have to find F{a}(x)=U(-y). That is to say that U=u(-x).
a) Use the definition to compute:
D) Use the Property of symmetry in the result of the previous exercise.