Re: Fourier transform of exponential function
- To: mathgroup at smc.vnet.net
- Subject: [mg108653] Re: Fourier transform of exponential function
- From: ALittleDog <leqia.he at gmail.com>
- Date: Fri, 26 Mar 2010 05:36:07 -0500 (EST)
- References: <hofg7f$f89$1@smc.vnet.net> <hofhko$g30$1@smc.vnet.net>
So the function that has a Fourier transform must be square summable, which is a condition that exp[-t] (t from -\inf to \inf) does not satisfy. By the way, what is mathematical interpretation of \sqrt(2 Pi) DiracDelta[ I + \omega ], that is given by Mathematica 5.0 for FourierTransform[Exp[-t], t, \omega] ?