Abstract
By the spectrum of a dynamical system we mean the spectrum of a unitary operator or group (semigroup) of unitary operators adjoint to the system on the invariant subset L 0 2 (M, 𝔖, μ) of functions of zero mean. Two dynamical systems with the same spectrum are said to be spectrally equivalent. In this chapter we shall compute the spectrum of certain dynamical systems. The necessary facts from the spectral theory of unitary operators are provided in Appendix 2.
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