Two kinds of the resonant-Auger (spectator and participator) decay processes were studied for 2P_3/2(L₃)→4d(unoccupied) in Y₂O₃, ZrO₂ and Nb₂O₅. The L₃M_{4, 5}M_{4, 5} Auger peaks are split into spectator and normal Auger peaks around the resonant photon energy. It is also found that the kinetic energy of the former peak shifts with the incident photon energy. This can be explained in connection with the broad band structure of the unoccupied orbitals. Furthermore the branching ratios of 3d_5/2 to 3d_3/2 were found to fluctuate drastically around the absorption edge. This is due to the participator Auger (direct-recombination) process and was interpreted in terms of the symmetry restriction between the initial and the final state which includes the photoelectron wave.