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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Riesz decompositions in Markov process theory
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by R. K. Getoor and J. Glover PDF
Trans. Amer. Math. Soc. 285 (1984), 107-132 Request permission

Abstract:

Riesz decompositions of excessive measures and excessive functions are obtained by probabilistic methods without regularity assumptions. The decomposition of excessive measures is given for Borel right processes. The results for excessive functions are formulated within the framework of weak duality. These results extend and generalize the pioneering work of Hunt in this area.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 285 (1984), 107-132
  • MSC: Primary 60J45; Secondary 60J40
  • DOI: https://doi.org/10.1090/S0002-9947-1984-0748833-1
  • MathSciNet review: 748833