Say I know this function $$ F(u) = \int _{-\infty}^{\infty}f(x) m\left(\frac{u}{x}\right) \mathrm d x$$ where $m(x)$ is a Fourier transform of an infinitely differentiable real function, whose maximal value is $1$, minimal value is $0$, and for every argument less than $0$ or greater than $1$ it is $0$. ($m(x)$ is known)
How can I get $f(x)$ knowing $F(u)$?