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Re: Re: FourierTransform of Sinc Function

• To: mathgroup at smc.vnet.net
• Subject: [mg44359] Re: [mg44311] Re: FourierTransform of Sinc Function
• From: "Kieng" <Sorasak at brown.edu>
• Date: Fri, 7 Nov 2003 05:16:03 -0500 (EST)
• References: <200310281053.FAA25777@smc.vnet.net> <bo7of6$ag8$1@smc.vnet.net> <200311051500.KAA26329@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

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 informatik.uni-leipzig.de>
To: mathgroup at smc.vnet.net
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
understand.
> > Anyone knows what is going on.
> >
> > Thank you very much,
> > Sorasak
>

• Follow-Ups:
  • Re: Re: Re: FourierTransform of Sinc Function
    • From: Yasvir Tesiram <yat@omrf.ouhsc.edu>

• References:
  • Re: FourierTransform of Sinc Function
    • From: Jens-Peer Kuska <kuska@informatik.uni-leipzig.de>