Re: convolution problem
- From: "Jon Slaughter" <Jon_Slaughter@xxxxxxxxxxx>
- Date: Wed, 7 Sep 2005 05:19:32 -0500
"buda" <kulghan@xxxxxxxxxxx> wrote in message
news:dfmcf5$2bc$1@xxxxxxxxxxxxxxxxx
> Hello,
>
> I have a problem understanding the transition between (11) and (12) at
> this location http://mathworld.wolfram.com/Convolution.html (this is not
> the actual problem that concerns me, but the reason for it troubling me is
> the same). How can we say that the last line constitutes a product, when
> the x in (12) should depend upon u which is the variable in the "outer"
> integral? (I assume here that the x in (12) is derived from some sort of
> substitution from (x-u) in (11)).
>
this is not the case. You must realize that
int(g(x-u),x=-oo..oo)
is independent of u then you will see it is just a constant and the constant
can be factored out of the integral.
(you can see that the above integral is independent of u by many ways... I
can think of 3 immediately... )
(ofcousre this assumes certain things but)
> I would appreciate any help on this matter.
> Thank you in advance.
>
Jon
.
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- convolution problem
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