Re: FoourierTransform of a function defined in sections
- To: mathgroup at smc.vnet.net
- Subject: [mg70192] Re: FoourierTransform of a function defined in sections
- From: dimmechan at yahoo.com
- Date: Sat, 7 Oct 2006 07:07:09 -0400 (EDT)
- References: <eg4soa$ffu$1@smc.vnet.net>
You could work as follows: $VersionNumber 5.2 FourierTransform[hh[x], x, s] -((2*Sqrt[2/Pi]*Sin[Pi*s])/(-4*s + s^3)) or (1/Sqrt[2*Pi])*Integrate[hh[x]*Exp[I*s*x], {x, -Infinity, Infinity}] -((2*Sqrt[2/Pi]*Sin[Pi*s])/(s*(-4 + s^2))) In either case N[%] /. s -> 1/2 0.8510768648563898 (*check*) Chop[(1/Sqrt[2*Pi])*NIntegrate[hh[x]*Exp[I*(1/2)*x], {x, -Infinity, Infinity}]] 0.8510768648563899 Cheers