Mathematics – Probability
Scientific paper
2009-03-23
Mathematics
Probability
19 pages
Scientific paper
The integration-by-parts formula discovered by Malliavin for the Ito map on
Wiener space is proved using the two-parameter stochastic calculus. It is also
shown that the solution of a one-parameter stochastic differential equation
driven by a two-parameter semimartingale is itself a two-parameter
semimartingale.
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