Re: Fourier Transform
- To: mathgroup at smc.vnet.net
- Subject: [mg124247] Re: Fourier Transform
- From: "Nasser M. Abbasi" <nma at 12000.org>
- Date: Sat, 14 Jan 2012 17:10:04 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <jercl1$1d8$1@smc.vnet.net>
- Reply-to: nma at 12000.org
On 1/14/2012 1:59 AM, jstorch at earthlink.net wrote:
> Mathematica hangs when trying to evaluate the simple Fourier Transform
> of H(a-|t|).
>
> FourierTransform[HeavisideTheta[a-abs[t]],t,w,Assumptions->a>0]
>
> (The answer should be Sqrt(2/Pi) (Sin[w a])/w )
>
Try Abs instead of abs:
-----------------
FourierTransform[HeavisideTheta[a - Abs[t]], t, w,Assumptions -> a > 0];
Simplify[ComplexExpand[%]]
----------------
(Sqrt[2/Pi]*Sin[a*w])/w
--Nasser