Generalized spectral analysis of some exactly solvable chaotic maps

On the basis of a unified theoretical formulation of resonances and resonance states in the rigged Hilbert spaces the spectral analysis of the Frobenius-Perron operators corresponding to some exactly solvable chaotic maps has been developed. Tent map and V-map as the simplest representatives of exactly solvable chaos have been studied in detail in the framework of the developed approach. In particular, an extension of the Frobenius-Perron resolvent to a suitable rigged Hilbert space has been constructed and the properties of the generalized spectral decomposition have been studied. Resonances and resonance projections for these maps have been calculated explicitly