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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.

  • 2
    What is $\gamma(x)$? And on which type of space are you working?2012-06-28
  • 2
    And which definition of Radon measure are you using?2012-06-28

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