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arxiv: 1609.09282 · v1 · pith:PWJDOE75new · submitted 2016-09-29 · 🧮 math.PR

Optimal approximation of Skorohod integrals

classification 🧮 math.PR
keywords approximationintegralsoptimalskorohodadaptednesschaoscharacterizationdecomposition
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In this manuscript, we determine the optimal approximation rate for Skorohod integrals of sufficiently regular integrands. This generalizes the optimal approximation results for It\^o integrals. However, without adaptedness and the It\^o isometry, new proof techniques are required. The main tools are a characterization via S-transform and a reformulation of the Wiener chaos decomposition in terms of Wick-analytic functionals.

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