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Notes on polar sets for Levy processes on the line

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Part of the Lecture Notes in Mathematics book series (LNM,volume 923)

Keywords

  • Potential Theory
  • Hunt Process
  • Symmetric Stable Process
  • Line Note
  • Levy Process

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References

  1. L. Carleson, Selected Problems in Exceptional Sets, Van Nostrand, Princeton, N. J., 1967.

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  2. J. Hawkes, On the Potential Theory of Subordinators, Z. Wahr. verw. 33 (1975) 113–132.

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  3. J. Hawkes, Potential theory of Lévy processes, Proc. London Math. Soc. (3) 38 (1979) 335–352.

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  4. M. Kanda, Two Theorems on Capacity for Markov processes with Stationary Independent Increments, Z. Wahr. verw., 35 (1976) 159–165.

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  5. M. Kanda and M. Uehara, On the Class of Polar Sets for Symmetric Levy processes on the line, to appear in Z. Wahr. verw.

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  6. M. Kanda, On the class of polar sets for Lévy processes on the line, to be submitted.

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  7. H. Kesten, Hitting probabilities of single points for processes with stationary independent increments, Memoirs Amer. Math. Soc. no 93, 1969.

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  8. S. Orey, Polar sets for processes with stationary independent increments, p117-126 of Markov process and potential theory, edited by J. Chover, New York, 1967.

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  9. S. J. Taylor, On the connection between Hausdorff measures and generalized capacity, Proc. Cambridge Phils. Soc. 57 (1961), 524–531.

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© 1982 Springer-Verlag

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Kanda, M. (1982). Notes on polar sets for Levy processes on the line. In: Fukushima, M. (eds) Functional Analysis in Markov Processes. Lecture Notes in Mathematics, vol 923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093045

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  • DOI: https://doi.org/10.1007/BFb0093045

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11484-0

  • Online ISBN: 978-3-540-39155-5

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