MediaWiki:Sitenotice id
From Ferienserie MMP2
Revision as of 19:43, 31 December 2014 by Un vieil homme (Talk | contribs)
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)
