Meaning of an Integral Transform

Question

Consider the transform of $f(t)$ as follows :

$G(t) =\displaystyle \int_{0}^t f(\tau)e^{-2\pi i\Theta} d\tau \hspace {0.5 in} \Theta = \displaystyle \int_{0}^{\tau} w(x)dx$

What is the meaning of this Transform