Solving Parseval's Identity: Is This Correct?

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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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The attachment has the be approved, and that might take a while. Can you type up the Identity?
 
The first line
\int \left|\phi(x)\right|^2 dx= \int \left|\psi(p)\right|^2 dp[/itex]<br /> is correct (and is the statement of Parseval&#039;s identity). The second line<br /> \int \left|\phi(x+1)\right|^2 dx= \int \left|\psi(p+1)\right|^2 dp[/itex]&lt;br /&gt; does NOT follow from the first.
 
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Halls could you approve it instead of just taking a peek for yourself :P?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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