English

Density and tails of unimodal convolution semigroups

Functional Analysis 2015-01-21 v2 Probability

Abstract

We give sharp bounds for the isotropic unimodal probability convolution semigroups when their L\'evy-Khintchine exponent has Matuszewska indices strictly between 0 and 2.

Cite

@article{arxiv.1305.0976,
  title  = {Density and tails of unimodal convolution semigroups},
  author = {Krzysztof Bogdan and Tomasz Grzywny and Michał Ryznar},
  journal= {arXiv preprint arXiv:1305.0976},
  year   = {2015}
}

Comments

23 pages, editorial changes, connection to Matuszewska indices explained, to appear in Journal of Functional Analysis

R2 v1 2026-06-22T00:11:37.099Z