  Using a recently developed perturbative renormalization group (RG) scheme, we
calculate analytically the spectral function of a Kondo impurity for either
large frequencies w or large magnetic field B and arbitrary frequencies. For
large w >> max[B,T_K] the spectral function decays as 1/ln^2[ w/T_K ] with
prefactors which depend on the magnetization. The spin-resolved spectral
function displays a pronounced peak at w=B with a characteristic asymmetry. In
a detailed comparison with results from numerical renormalization group (NRG)
and bare perturbation theory in next-to-leading logarithmic order, we show that
our perturbative RG scheme is controlled by the small parameter 1/ln[
max(w,B)/T_K]. Furthermore, we assess the ability of the NRG to resolve
structures at finite frequencies.
