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].
Work supported by EU HCM Contract CHRX-CT93-0094
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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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