2. Compatibility between old and new. Suppose f(t) is a function that has a Fourier transform. Show that the distribution associated to the Fourier transform of f is the same as the Fourier transform of the distribution associated to f, i.e., show T(#ƒ) = F (Tƒ). Exercise 2. When evaluated on a function & in S, both distributions equal an iterated double integral. You'll need to reverse the order of integration to show the two double integrals are equal.