Abstract
We construct the eigenpolynomials and the eigendistributions associated with Ruelle resonances in a piecewise-linear one-dimensional map model of deterministic diffusion which is uniformly hyperbolic. We show that the eigenpolynomials belong to the class of Appell polynomials and that the eigendistributions are given by series of derivatives of the Dirac distribution. The expansion on the eigenpolynomials is shown to converge for initial densities which are entire functions of exponential type.
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