Calculate oscillatory integrals using Julia
using ApproxFun,OscillatoryIntegrals
fourier(Fun(x->cos(x^2), 1..2), 10000.5)
calculates the integral of cos(x^2)*exp(im*10000.5*x)
over [1,2]
fourier(Fun(sech,Laurent(PeriodicLine())), 10.5)
calcules the integral of sech(x)*exp(im*10.5*x)
over the real line