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Math Help - Parseval Relation

  1. #1
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    Parseval Relation

    Derive from \sum_{k} \vert <x,e_k>\vert ^2 = \|x\|^2
    the following formula which is called the parseval relation:


       <x,y> = \sum_k <x,e_k> \overline{<y,e_k>}.
    Last edited by CaptainBlack; June 1st 2009 at 06:32 AM.
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  2. #2
    Super Member Rebesques's Avatar
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    Use the formula \langle x,y\rangle=\frac{1}{4}\left(||x+y||^2-||x-y||^2\right)-\frac{{\rm i}}{4}\left(||x+{\rm i}y||^2-||x-{\rm i}y||^2\right).
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  3. #3
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    thank you for the hint! I'll see if I can use it to find the solution to get from A to B
    If I get stuck I'll let you know.
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