Doubly-Feller Process with Multiplicative Functional

  • K. L. Chung
Part of the Progress in Probability and Statistics book series (PRPR, volume 12)


Despite the common use of the term “Feller property”, there are variations in its definition. In the early literature on Markov processes, there are discussions of this and related properties, often under sets of bewildering assumptions. The coast should now be clear, but certain neat formulations may have been overlooked. In §1 of this note, some old results are reviewed in more general forms and an apparently new one is derived. In §2, the results are extended to include a multiplicative functional, of which the prime example is that of Feynman-Kac, properly generalized.


Brownian Motion Markov Property Continuous Path Nonempty Open Subset Strong Markov Property 
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Copyright information

© Birkhäuser Boston, Inc. 1986

Authors and Affiliations

  • K. L. Chung
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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