English

Krylov-Veretennikov formula for functionals from the stopped Wiener process

Probability 2015-11-26 v1

Abstract

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

Cite

@article{arxiv.1511.08028,
  title  = {Krylov-Veretennikov formula for functionals from the stopped Wiener process},
  author = {G. V. Riabov},
  journal= {arXiv preprint arXiv:1511.08028},
  year   = {2015}
}
R2 v1 2026-06-22T11:53:59.693Z