I have a question about Radon meaures: Given a Radon measures $ \mu_{1}, \mu_{2}$, both have compact support:
How to show that $\int \hat{\mu_{1}}(x)\,d\mu_{2}(x)=\int \hat{\mu_{2}}(x)\,d\mu_{1}(x)$ , where the "hat" means Fourier transform.
Thanks for help in advance.