  We present new results on the reconstruction of mesonic spectral functions
for three temperatures $1.1T_c$, $1.2T_c$ and $1.4T_c$ in quenched QCD. Making
use of non-perturbatively improved clover Wilson valence quarks allows for a
clean extrapolation of correlator data to the continuum limit. For the case of
vanishing momentum the spectral function is obtained by fitting the data to a
well motivated ansatz, using the full covariance matrix of the continuum
extrapolated data in the fit. We found that vector correlation function is
almost temperature independent in the current temperature window. The
electrical conductivity of the hot medium, related to the origin of the vector
spectral function at zero momentum, is computed from the resulting parameters
at all three temperatures, leading to an estimate of $0.2C_{em}\lesssim
\sigma/T\lesssim0.4C_{em}$. The dilepton rates resulting from the obtained
spectral functions show no significant temperature dependence.
