Generalized bounded variation and applications to piecewise monotonic transformations

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Abstract

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. © 1985 Springer-Verlag.

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Keller, G. (1985). Generalized bounded variation and applications to piecewise monotonic transformations. Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, 69(3), 461–478. https://doi.org/10.1007/BF00532744

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