Antoniou, I.; Sadovnichii, V.A.; Shkarin, S.A. - In: Physica A: Statistical Mechanics and its Applications 269 (1999) 2, pp. 299-313
We introduce and characterise time operators for unilateral shifts and exact endomorphisms. The associated shift representation of evolution is related to the spectral representation by a generalized Fourier transform. We illustrate the results for a simple exact system, namely the Renyi map.
