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Re: FourierTransform of Sinc Function

• To: mathgroup at smc.vnet.net
• Subject: [mg44335] Re: FourierTransform of Sinc Function
• From: "Steve Luttrell" <luttrell at _removemefirst_westmal.demon.co.uk>
• Date: Wed, 5 Nov 2003 10:01:48 -0500 (EST)
• References: <200310281053.FAA25777@smc.vnet.net> <bo7of6$ag8$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

In version 5

FourierTransform[Sin[x]/x, x, k]

produces the output

(1/2)*Sqrt[Pi/2]*(Sign[1 - k] + Sign[1 + k])

which is a top-hat function that plots out as expected

--
Steve Luttrell
West Malvern, UK

"Kieng" <Sorasak at brown.edu> wrote in message
news:bo7of6$ag8$1 at smc.vnet.net...
> 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
>
>