Absolute continuity of autophage measures on finite-dimensional vector spaces
Probability
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We consider a class of measures called autophage which was introduced and studied by Szekely for measures on the real line. We show that the autophage measures on finite-dimensional vector spaces over real or p-adic field are infinitely divisible without idempotent factors and are absolutely continuous with bounded continuous density. We also show that certain semistable measures on such vector spaces are absolutely continuous.
Keywords
Cite
@article{arxiv.math/0212260,
title = {Absolute continuity of autophage measures on finite-dimensional vector spaces},
author = {C. R. E. Raja},
journal= {arXiv preprint arXiv:math/0212260},
year = {2007}
}
Comments
10 pages