Paley-Wiener theorem

Let $f(z)$ be an entire function such that $|f(z)|\le K{e}^{\gamma |z|}$ for some $K\ge 0$ and$\gamma >0$. If the restriction of $f$ to the real lineis in $L^2(ℝ)$, then there exists a function$g(t)\in L^2(-\gamma ,\gamma )$ such that

$$f(z)=\frac{1}{\sqrt{2\pi }}{\int }_{-\gamma }^{\gamma }g(t)e^{izt}𝑑t$$

for all $z$.