Difference between revisions of "MediaWiki:Sitenotice id"

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(Created page with "Instead of doing the substitution it should also be possible to write: $$ \frac{1}{(2\pi)^{n/2}} \int_{\mathbb{R}^n } \int_{\mathbb{R}^n } f(x-y) g(y) e^{-i<k,x>} dy \: dx $$...")
 
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and then use Fubini
 
and then use Fubini
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[[User:Un vieil homme|Un vieil homme]] ([[User talk:Un vieil homme|talk]]) 20:43, 31 December 2014 (CET)

Revision as of 19:43, 31 December 2014

Instead of doing the substitution it should also be possible to write:

$$ \frac{1}{(2\pi)^{n/2}} \int_{\mathbb{R}^n } \int_{\mathbb{R}^n } f(x-y) g(y) e^{-i<k,x>} dy \: dx $$

as

$$ \frac{1}{(2\pi)^{n/2}} \int_{\mathbb{R}^n } \int_{\mathbb{R}^n } f(x-y) g(y) e^{-i<k,x-y+y>} dy \: dx $$

$$ = \frac{1}{(2\pi)^{n/2}} \int_{\mathbb{R}^n } \int_{\mathbb{R}^n } f(x-y) e^{-i<k,x-y>} g(y) e^{-i<k,y>} dy \: dx $$

and then use Fubini

Un vieil homme (talk) 20:43, 31 December 2014 (CET)