# I would need to solve this

1. Dec 9, 2006

i would need to solve the integral equation..

$$g(x)=\int_{-\infty}^{\infty}dte^{ixf(t)}$$

the unknown function is f(t) g(x) is known, appart from using a numerical cuadrature method for the integral, what else can i do?.. could we prove if the function f(t) will exist or if it won't have any solution??..thanx.

2. Dec 9, 2006