Spectral Representations of the Bernoulli Map
نویسنده
چکیده
We discuss spectral representations of the Perron-Frobenius operator, U, associated with a highly chaotic map. The continuous spectrum of U does not contain (except coincidentally) information about physically accessible quantities such as decay rates of correlation functions. We show constructively that decay rates can be incorporated into a generalized spectral decomposition of U if its domain is restricted to smooth functions.
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