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Photoelectron spectra and optical absorption spectra for clean surfaces of quasicrystalline samples of the Ti—Zr—Ni system are measured. The resonant photoelectron spectra are also measured in the range of photon energies corresponding to Ni 2
p
and Zr 3
d
absorption thresholds. The change in the intensities of the spectrum of the valence band near the Zr 3
d
threshold is insignificant. The emission of Auger electrons increases near the Ni 2
p
threshold in a resonance way. Our studies make it possible to reveal certain specific features of the electronic structure of quasicrystals, which can be used to construct models of actual electronic structures of quasi-crystalline materials.