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Ito formula for free stochastic integrals

算子代数 2007-05-23 v1 概率论

摘要

The objects under investigation are the stochastic integrals with respect to free Levy processes. We define such integrals for square-integrable integrands, as well as for a certain general class of bounded integrands. Using the product form of the Ito formula, we prove the full functional Ito formula in this context.

关键词

引用

@article{arxiv.math/0102063,
  title  = {Ito formula for free stochastic integrals},
  author = {Michael Anshelevich},
  journal= {arXiv preprint arXiv:math/0102063},
  year   = {2007}
}

备注

17 pages, AMS-LaTeX2e