Solving Parseval's Identity: Is This Correct?

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Homework Help Overview

The discussion revolves around Parseval's identity in the context of Fourier transforms, specifically examining the correctness of a mathematical statement related to the identity.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the validity of a specific line in the context of Parseval's identity, with one participant expressing doubt about the correctness of the second line presented.

Discussion Status

The discussion is ongoing, with some participants providing insights into the correctness of the statements made. There is a request for clarification on the identity itself, indicating a collaborative effort to understand the material better.

Contextual Notes

One participant notes that an attachment containing the original document needs approval, which may delay further discussion. Additionally, there is a mention of a specific mathematical expression that does not logically follow from the first statement, highlighting the need for careful examination of assumptions.

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Homework Statement


Is this correct (in the document)?



The Attempt at a Solution


I have a feeling it is not.
 

Attachments

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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]
 
Last edited by a moderator:
Halls could you approve it instead of just taking a peek for yourself :P?
 

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