Asymptotic behaviour and estimates of slowly varying convolution semigroups
Probability
2018-03-16 v1 Functional Analysis
Abstract
We prove the asymptotic formulas for the transition densities of isotropic unimodal convolution semigroups of probability measures on under the assumption that its L\'{e}vy--Khintchine exponent varies slowly. We also derive some new estimates of the transition densities and Green functions.
Cite
@article{arxiv.1606.04178,
title = {Asymptotic behaviour and estimates of slowly varying convolution semigroups},
author = {Tomasz Grzywny and Michał Ryznar and Bartosz Trojan},
journal= {arXiv preprint arXiv:1606.04178},
year = {2018}
}
Comments
35 pages