✦ LIBER ✦
Absolute continuity of autophage measures on finite-dimensional vector spaces
✍ Scribed by C. R. E. Raja
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 114 KB
- Volume
- 263-264
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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 Q~p~ are infinitely divisible without nontrivial idempotent factors and are absolutely continuous with bounded continuous density. We also show that certain semistable measures on such vector spaces are absolutely continuous. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)