Parseval's identity for a Fourier series

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Homework Statement


Is this correct (in the document)?



The Attempt at a Solution


I have a feeling it is not.
 
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  • Handwritten derivation on ruled notebook paper: integral of |psi(x)|^2 dx equals integral of |psi(p)|^2 dp, followed by an arrow to integral of |psi(x+h)|^2 dx equals integral of |psi(p+h)|^2 dp.
    Parseval's identity.jpg
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The attachment has the be approved, and that might take a while. Can you type up the Identity?
 
The first line
[tex]\int \left|\phi(x)\right|^2 dx= \int \left|\psi(p)\right|^2 dp[/itex]<br /> is correct (and is the statement of Parseval's identity). The second line<br /> [tex]\int \left|\phi(x+1)\right|^2 dx= \int \left|\psi(p+1)\right|^2 dp[/itex]<br /> does NOT follow from the first.[/tex][/tex]
 
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Halls could you approve it instead of just taking a peek for yourself :P?