  We present the application of the spherically averaged continuum model to the
evaluation of molecular photoelectron and resonant Auger electron spectra. In
this model, the continuum wave function is obtained in a numerically efficient
way by solving the radial Schr\"odinger equation with a spherically averaged
molecular potential. Different approximations to the Auger transition matrix
element and, in particular, the one-center approximation are thoroughly tested
against experimental data for the CH$_4$, O$_2$, NO$_2$, and pyrimidine
molecules. In general, this approach appears to estimate the shape of the
photoelectron and autoionization spectra as well as the total Auger decay rates
with reasonable accuracy, allowing for the interpretation of experimental
results.
