English

Compound kernel estimates for the transition probability density of a L\'evy process in $\rn$

Probability 2013-10-29 v1

Abstract

We construct in the small-time setting the upper and lower estimates for the transition probability density of a L\'evy process in \rn\rn. Our approach relies on the complex analysis technique and the asymptotic analysis of the inverse Fourier transform of the characteristic function of the respective process.

Keywords

Cite

@article{arxiv.1310.7081,
  title  = {Compound kernel estimates for the transition probability density of a L\'evy process in $\rn$},
  author = {V. Knopova},
  journal= {arXiv preprint arXiv:1310.7081},
  year   = {2013}
}