Generalized bounded variation and applications to piecewise monotonic transformations

  • Gerhard Keller

DOI: 10.1007/BF00532744

Cite this article as:
Keller, G. Z. Wahrscheinlichkeitstheorie verw Gebiete (1985) 69: 461. doi:10.1007/BF00532744


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.

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Gerhard Keller
    • 1
  1. 1.Institut für Angewandte MathematikUniversität HeidelbergHeidelberg 1Federal Republic of Germany

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