English

Ito formula for free stochastic integrals

Operator Algebras 2007-05-23 v1 Probability

Abstract

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.

Keywords

Cite

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

Comments

17 pages, AMS-LaTeX2e