Absolute continuity of autophage measures on finite-dimensional vector spaces

Details Absolute continuity of autophage measures on finite-dimensional vector spaces Absolute continuity of autophage measures on finite-dimensional vector spaces

2002-12-19

arxiv.org/abs/math/0212260v1

Math. Nachr. 263/264 (2004), 198-203.

Mathematics

Probability

10 pages

Scientific paper

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.

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