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The Azéma martingales as components of quantum independent increment processes

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References

  1. Accardi, L., Frigerio, A., Lewis, J.T.: Quantum stochastic processes. Publ. RIMS, Kyoto Univ. 18, 97–133 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  2. Accardi, L., Schürmann, M., Waldenfels, W. v.: Quantum independent increment processes on superalgebras. Math. Z. 198, 451–477 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  3. Azéma, J.: Sur les fermes aleatoires. In: Azema, J., Yor, M. (eds.) Sem. Prob. XIX. (Lect. Notes Math., vol. 1123). Berlin Heidelberg New York: Springer 1985

    Google Scholar 

  4. Glockner, P.: *-Bialgebren in der Quantenstochastik. Dissertation, Heidelberg 1989

    Google Scholar 

  5. Glockner, P., Waldenfels, W. v.: The relations of the non-commutative coefficient algebra of the unitary group. SFB-Preprint Nr. 460, Heidelberg 1988

    Google Scholar 

  6. Guichardet, A.: Symmetric Hilbert spaces and related topics. (Lect. Notes Math. vol. 261). Berlin Heidelberg New York: Springer 1972

    MATH  Google Scholar 

  7. Parthasarathy, K.R.: Azema martingales and quantum stochastic calculus. Preprint 1989

    Google Scholar 

  8. Parthasarathy, K.R., Schmidt, K.: Positive definite kernels, continuous tensor products, and central limit theorems of probability theory. (Lect. Notes Math. vol. 272). Berlin Heidelberg New York: Springer 1972

    MATH  Google Scholar 

  9. Schürmann, M.: Noncommutative stochastic processes with independent and stationary increments satisfy quantum stochastic differential equations. To appear in Probab. Th. Rel. Fields

    Google Scholar 

  10. Schürmann, M.: A class of representations of involutive bialgebras. To appear in Math. Proc. Cambridge Philos. Soc.

    Google Scholar 

  11. Schürmann, M.: Quantum stochastic processes with independent additive increments. Preprint, Heidelberg 1989

    MATH  Google Scholar 

  12. Sweedler, M.E.: Hopf algebras. New York: Benjamin 1969

    MATH  Google Scholar 

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Authors

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Jaques Azéma Marc Yor Paul André Meyer

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© 1991 Springer-Verlag

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Schürmann, M. (1991). The Azéma martingales as components of quantum independent increment processes. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXV. Lecture Notes in Mathematics, vol 1485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100842

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  • DOI: https://doi.org/10.1007/BFb0100842

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54616-0

  • Online ISBN: 978-3-540-38496-0

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