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#1

$Old$ May 31st, 2009, 02:39 PM

frater_cp $frater_cp is offline$

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$Default$ 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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$Old$ June 3rd, 2009, 09:04 AM

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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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$Old$ June 3rd, 2009, 09:08 AM

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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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