We consider the amplitude $T(\ensuremath{\nu}=2q\ifmmode\cdot\else\textperiodcentered\fi{}p,\ensuremath{\kappa}={q}^{2},\ensuremath{\delta}=2q\ifmmode\cdot\else\textperiodcentered\fi{}\ensuremath{\Delta};t={\ensuremath{\Delta}}^{2})$ for the reaction $A(q)+C(p)\ensuremath{\rightarrow}B({q}^{\ensuremath{'}})+D({p}^{1})$, where $A$ and $B$ are scalar currents and $C$ and $D$ are on-shell scalar particles. We assume scaling behavior, $T\underset{A}{\ensuremath{\rightarrow}}{\ensuremath{\nu}}^{\ensuremath{-}1}F(\ensuremath{\omega},\ensuremath{\tau};t) \mathrm{for} \ensuremath{\nu}\ensuremath{\rightarrow}\ensuremath{\infty}$, with $\ensuremath{\omega}\ensuremath{\equiv}\frac{\ensuremath{\kappa}}{\ensuremath{\nu}}$, $\ensuremath{\tau}=\frac{\ensuremath{\delta}}{\ensuremath{\nu}}$, and $t$ fixed, and Regge behavior, $T\underset{R}{\ensuremath{\rightarrow}}{\ensuremath{\nu}}^{\ensuremath{\alpha}(t)}\ensuremath{\beta}(\ensuremath{\kappa},\ensuremath{\delta};t)$ for $\ensuremath{\nu}\ensuremath{\rightarrow}\ensuremath{\infty}$, with $\ensuremath{\kappa}, \ensuremath{\delta}, \mathrm{and} t$ fixed and implement these behaviors on integral representations with suitable spectral functions. For $\ensuremath{\delta}=0$, we derive the commutativity relation ${\mathrm{lim}}_{\ensuremath{\omega}\ensuremath{\rightarrow}0}{\mathrm{lim}}_{A}T={\mathrm{lim}}_{\ensuremath{\kappa}\ensuremath{\rightarrow}\ensuremath{\infty}}{\mathrm{lim}}_{R}T$ and the asymptotic behavior $f(\ensuremath{\lambda},0;t)\ensuremath{\sim}{\ensuremath{\lambda}}^{\ensuremath{\alpha}(t)}$ for the coefficient $f(x\ifmmode\cdot\else\textperiodcentered\fi{}p,x\ifmmode\cdot\else\textperiodcentered\fi{}\ensuremath{\Delta};t)$ of the leading light-cone (LC) singularity of the Fourier transform of $T$. [$f \mathrm{is}\mathrm{related}\mathrm{to} F \mathrm{by} F(\ensuremath{\omega},\ensuremath{\tau};t)\ensuremath{\propto}\ensuremath{\int}{0}^{\ensuremath{\infty}}d\ensuremath{\lambda}{e}^{i\ensuremath{\lambda}\ensuremath{\omega}}f(\ensuremath{\lambda},\ensuremath{\lambda}\ensuremath{\tau};t)$.] Thus, the leading LC singularity determines the trajectory function $\ensuremath{\alpha}(t)$ and thus provides a configuration-space view of high-energy behavior. This generalizes our previous results for $\ensuremath{\Delta}=0$. To see what can happen for $\ensuremath{\delta}\ensuremath{\ne}0$, we use the ladder approximation for $T$. We again derive a commutativity relation ${\mathrm{lim}}_{\ensuremath{\tau}\ensuremath{\rightarrow}0}{\mathrm{lim}}_{\ensuremath{\omega}\ensuremath{\rightarrow}0}{\mathrm{lim}}_{A}T={\mathrm{lim}}_{\ensuremath{\kappa}\ensuremath{\rightarrow}\ensuremath{\infty}}{\mathrm{lim}}_{\ensuremath{\delta}\ensuremath{\rightarrow}\ensuremath{\infty}}{\mathrm{lim}}_{R}T, \mathrm{but}\mathrm{now} f(\ensuremath{\lambda},\ensuremath{\lambda}\ensuremath{\tau};t)\ensuremath{\sim}\mathrm{const}\ensuremath{\ne}0$. Thus the large-$\ensuremath{\lambda}$ behavior of $f$ is quite different for $\ensuremath{\tau}=0$ and for $\ensuremath{\tau}\ensuremath{\ne}0$. This behavior can, in particular, be nice at $\ensuremath{\tau}=0$, and the assumption that $0<|\ensuremath{\int}{0}^{\ensuremath{\infty}}d\ensuremath{\lambda}f(\ensuremath{\lambda},0;t)|<\ensuremath{\infty}$ is seen to lead to interesting constraints on the Regge trajectory.