Generalized bounded variation and applications to piecewise monotonic transformations |
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| Authors: | Gerhard Keller |
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| Institution: | (1) Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 6900 Heidelberg 1, Federal Republic of Germany |
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| Abstract: | Summary We prove the quasi-compactness of the Perron-Frobenius operator of piecewise monotonic transformations when the inverse of the derivative is Hölder-continuous or, more generally, of bounded p-variation.This work has been supported by the Deutsche Forschungsgemeinschaft |
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