  The single-particle spectral function for an incompressible fractional
quantum Hall state in the presence of a scalar short-ranged attractive impurity
potential is calculated via exact diagonalization within the spherical
geometry. In contrast to the noninteracting case, where only a single bound
state below the lowest Landau level forms, electron-electron interactions
strongly renormalize the impurity potential, effectively giving it a finite
range, which can support many quasi-bound states (long-lived resonances).
Averaging the spectral weights of the quasi-bound states and extrapolating to
the thermodynamic limit, for filling factor $\nu=1/3$ we find evidence
consistent with localized fractionally charged $e/3$ quasiparticles. For
$\nu=2/5$, the results are slightly more ambiguous, due to finite size effects
and possible bunching of Laughlin-quasiparticles.
