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Convergence and uniqueness theorems for markov processes associated with Lévy operators

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Probability Theory and Mathematical Statistics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1299))

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References

  1. O.A. Ladyženskaja, V.A. Solonnikov and N.N. Ural'ceva: Linear and Quasilinear Equations of Parabolic Type, (English translation) Amer. Math. Soc. Providence (1968).

    Google Scholar 

  2. T.M. Liggett: Interacting Particle Systems, Springer-Verlag, New York (1985).

    Book  MATH  Google Scholar 

  3. M.F. Norman: A "psychological" proof that certain Markov semigroups preserve differentiability, SIAM-AMS Proc. 13 (1981), 197–211.

    MathSciNet  MATH  Google Scholar 

  4. K. Sato: Integration of the generalized Kolmogorov-Feller backward equations, J. Fac. Sci. Univ. Tokyo Sec. I, 9 (1961), 13–27.

    MathSciNet  MATH  Google Scholar 

  5. K. Sato and T. Ueno: Multi-dimensional diffusion and Markov process on the boundary, J. Math. Kyoto Univ. 4 (1965), 529–605.

    MathSciNet  MATH  Google Scholar 

  6. A.V. Skorohod: Limit theorems for Markov processes, Theor. Prob. Appl. 3 (1958), 202–246.

    Article  MathSciNet  Google Scholar 

  7. D.W. Stroock: Diffusion processes associated with Lévy generators, Z. Wahrsh. Verw. Geb. 32 (1975), 209–244.

    Article  MathSciNet  MATH  Google Scholar 

  8. D.W. Stroock and S.R.S. Varadhan: Multidimensional Diffusion Processes, Springer-Verlag, New York (1979).

    MATH  Google Scholar 

  9. M. Tsuchiya: Martingale problems and semigroups, Ann. Sci. Kanazawa Univ. 21 (1984), 19–22.

    MathSciNet  Google Scholar 

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Shinzo Watanabe Jurii Vasilievich Prokhorov

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© 1988 Springer-Verlag

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Negoro, A., Tsuchiya, M. (1988). Convergence and uniqueness theorems for markov processes associated with Lévy operators. In: Watanabe, S., Prokhorov, J.V. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078492

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  • DOI: https://doi.org/10.1007/BFb0078492

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18814-8

  • Online ISBN: 978-3-540-48187-4

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