English

Localization of Wiener Functionals of Fractional Regularity and Applications

Probability 2014-03-28 v2

Abstract

In this paper we localize some of Watanabe's results on fractional Wiener functionals, and use them to give a precise estimate of the difference between two Donsker's delta functionals even with fractional differentiability. As an application, the convergence rate of the density of the Euler scheme for non-Markovian stochastic differential equations is obtained.

Keywords

Cite

@article{arxiv.1304.4316,
  title  = {Localization of Wiener Functionals of Fractional Regularity and Applications},
  author = {Kai He and Jiagang Ren and Hua Zhang},
  journal= {arXiv preprint arXiv:1304.4316},
  year   = {2014}
}