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arXiv 1511.08028math.PR
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Krylov-Veretennikov formula for functionals from the stopped Wiener process

G. V. Riabov

英文摘要:

We consider a class of measures absolutely continuous with respect to the distribution of the stopped Wiener process $w(\cdot\wedgeτ)$. Multiple stochastic integrals, that lead to the analogue of the Itô-Wiener expansions for such measures, are described. An analogue of the Krylov-Veretennikov formula for functionals $f=φ(w(τ))$ is obtained.

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