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Re: InverseFourierTransform strange behaviour
*To*: mathgroup at smc.vnet.net
*Subject*: [mg82323] Re: InverseFourierTransform strange behaviour
*From*: roby.nowak at gmail.com
*Date*: Wed, 17 Oct 2007 04:13:05 -0400 (EDT)
*References*: <fesjid$ks8$1@smc.vnet.net><ff1qf0$9ao$1@smc.vnet.net>
Hi Frank,
sorry but you are not correct.
2 Sqrt[2/Pi] Exp[(w/2)^2] Sin[w]/w
is pefectly even (as it is without the negative sign as you suggested)
Exp[(w/2)^2] is even
Sin[w] is odd
1/w is odd
Sin[w]/w is even
a simple numerical test too shows that the function is even ( f[x] ==
f[-x] )
@everybody
I am in doubt now if the IFT exists for my function. any suggestions
to this ?
regards robert
On 16 Okt., 09:49, Frank Iannarilli <frank... at cox.net> wrote:
> On Oct 14, 4:21 am, roby.no... at gmail.com wrote:
>
> > In[1]:= 2 Sqrt[2/Pi] Exp[(w/2)^2] Sin[w]/w;
> > InverseFourierTransform[%, w, x]
>
> Your function is actually not even, but I believe you intended it to
> be:
> 2 Sqrt[2/Pi] Exp[-(w/2)^2] Sin[w]/w
> ^^^^
> (note inserted negative sign)
>
> In this case, everything will work as you expected.
>
> Regards,
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