Two-parameter stochastic calculus and Malliavin's integration-by-parts formula on Wiener space

Mathematics – Probability

Scientific paper

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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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