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Subordinate Resolvents

  • Lucian Beznea
  • Nicu Boboc
Part of the Mathematics and Its Applications book series (MAIA, volume 572)

Abstract

In this chapter it is studied the subordination relation between sub-Markovian re-solvents. In Section 5.1 we investigate the weak and exact subordination operators (in the sense of G. Mokobodzki) with respect to a given sub-Markovian resolvent U and the associated resolvents subordinated to U (in the sense of E.B. Dynkin, P.A. Meyer and R.M. Blumenthal-R.K. Getoor). The corresponding probabilistic interpretations in terms of the multiplicative functionals are exposed in Section 5.3.

Keywords

Probabilistic Interpretation Kernel Versus Initial Kernel Multiplicative Functional Proper Kernel 
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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Lucian Beznea
    • 1
  • Nicu Boboc
    • 2
  1. 1.Institute of Mathematics“Simion Stoilow” of the Romanian AcademyBucharestRomania
  2. 2.Faculty of Mathematics and InformaticsUniversity of BucharestBucharestRomania

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