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Series of iterated quantum stochastic integrals

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Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1729)

Abstract

We consider series of iterated non-commutative stochastic integrals of scalar operators on the boson Fock space. We give a sufficient condition for these series to converge and to define a reasonable operator. An application of this criterion gives a condition for the convergence of some formal series of generalized integrator processes such as considered in [CEH].

Keywords

  • Stochastic Integral
  • Iterate Integral
  • Quantum Stochastic Calculus
  • Coherent Vector
  • Small Greek Letter

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Work supported by EU HCM Contract CHRX-CT93-0094

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© 2000 Springer-Verlag

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Attal, S., Hudson, R.L. (2000). Series of iterated quantum stochastic integrals. In: Azéma, J., Ledoux, M., Émery, M., Yor, M. (eds) Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics, vol 1729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103801

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  • DOI: https://doi.org/10.1007/BFb0103801

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67314-9

  • Online ISBN: 978-3-540-46413-6

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