High-order harmonic generation is considered in a system consisting of
an ion with an internal degree of freedom plus an outer electron. The
theoretical treatment is both quantum-mechanical and classical. The e
mphasis is on the core resonance effects, which can significantly modi
fy the harmonic spectra, with appearance of anomalous peaks. Under som
e assumptions, the spectral amplitude of the resonant harmonic of the
system dipole moment can be obtained by evaluation of such amplitude w
ithin a single-electron approximation and multiplication of the result
by a correcting factor. The latter depends on the polarizability of t
he ion and of a free electron at the harmonic frequency.