The theory of the shapes of Auger decay lines of satellite two-hole-one par
ticle states accompanying photoionization based on the Green's function met
hod is developed. The lineshapes of Auger decay of satellite states [2s2p](
P-1,P-3)3s(P-2), [2s2p](P-1)4s(P-2) and [3s3p](P-3)4s(P-2) in valence p-pho
toelectron spectra of Ne and Ar atoms are calculated (hole states are indic
ated by square brackets throughout). It is shown that in some cases the Aug
er lineshapes reproduce the shape of the photoelectron satellite line, but
in other cases Auger line may be narrower then the photoelectron line and m
ay have opposite direction of asymmetry. The theoretical results are in agr
eement with experimental low-energy Auger spectra.