Prove Parseval's relation for Fourier transforms: [f(x)g (x)dx = [(k)g* (k) dk. In particular, the norm...

 

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Prove Parseval's relation for Fourier transforms: [f(x)g" (x)dx = [(k)g* (k) dk. In particular, the norm of a function-with weight function equal to 1-is invariant under Fourier transform. Prove Parseval's relation for Fourier transforms: [f(x)g" (x)dx = [(k)g* (k) dk. In particular, the norm of a function-with weight function equal to 1-is invariant under Fourier transform.