\begin{definition}[Definition:Integral Transform/Image Space]
Let $\map F p$ be an integral transform:
:$\ds \map F p = \int_a^b \map f x \map K {p, x} \rd x$
Let $T: f \to F$ be the integral operator corresponding to $\map F p$.
The domain of $p$ is known as the '''image space''' of $T$.
\end{definition}