The results of the low-temperature, high energy resolution photoemission st
udies of a single-grain icosahedral alloy Al70Pd21.5Mn8.5 have been present
ed. The existence of the theoretically predicted pseudogap has been confirm
ed. No evidence of the theoretically predicted spikiness of the density of
states could be observed. A review of published experimental data on the el
ectronic structure of quasicrystals has also been presented. The photoemiss
ion experimental results confirm the existence of a pseudogap in the densit
y of states in icosabedml quasicrystals, but its existence in the decagonal
quasicrystals remains still an open question. The predicted DOS spikiness
could not be observed in any of the studied quasicrystals.