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Re: Re: FourierTransform of Sinc Function

I am sorry my question is apparently not so clear.
I generated a list of data from a sinc function.  I am not doing the
transform from the sinc function.
If I use Fourier[list of the data], and plot the result, her is where I am
kind of not sure why I don't get a top hat function, even though I used very
fine step for my sinc function data.

----- Original Message ----- 
From: "Jens-Peer Kuska" <kuska at>
To: mathgroup at
Subject: [mg44359] [mg44311] Re: FourierTransform of Sinc Function

> Hi,
> what is mysterious on
> In[]:=FourierTransform[Sin[w*x]/x, x, k]
> Out[]=(Sqrt[Pi/2]*(-Sign[k - w] + Sign[k + w]))/2
> Regards
>   Jens
> Kieng wrote:
> >
> > Dear All,
> >
> >  I tested the Fourier Function on a sinc function which should give the
> > top-hat but mathatmatica gave some mysterious plot that I don't
> > Anyone knows what is going on.
> >
> > Thank you very much,
> > Sorasak

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