  The superconducting instability in a non-Fermi liquid in $ d>1$ is
considered. For a particular form of the single particle spectral function with
homogeneous scaling $A(\Lambda k, \Lambda \omega) = \Lambda^{\alpha} A(k,
\omega)$ it is shown that the pair susceptibility is also a scaling function of
temperature with power defined by $\alpha$. We find three different regimes
depending on the scaling constant. The BCS result is recovered for $\alpha =
-1$ and it corresponds to a marginal scaling of the coupling constant. For
$\alpha > -1$ the superconducting transition happens above some critical
coupling. In the opposite case of $\alpha < -1$ for any fixed coupling the
system undergoes a transition at low temperatures. Possible implications for
theories of high-$T_c$ with a superconducting transition driven by the
interlayer Josephson tunneling are discussed. 1 ps file for fig is attached at
the bottom of the tex file.
