Fourier transform of exponential function
- To: mathgroup at smc.vnet.net
- Subject: [mg108632] Fourier transform of exponential function
- From: ALittleDog <leqia.he at gmail.com>
- Date: Thu, 25 Mar 2010 06:08:13 -0500 (EST)
I am trying to do a Fourier transform of a simple exponential function, by using the following code: FourierTransform[Exp[-t], t, =F9] By Mahtematica 5.0, I obtain \sqrt(2 Pi) DiracDelta[ I + =F9 ] By Mathematica 7.0, I obtain a repetition of the original input as FourierTransform[Exp[-t], t, =F9]. I search to look for a classical solution, but most of them are talking about FourierTransform[Exp[-Abs[t]], t, =F9]. Indeed, what is the classical solution of this problem? Why 5.0 version and 7.0 version try to figure it out in a different manner? Thanks!