Absolute continuity of autophage measures on finite-dimensional vector spaces

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dc.creatorRaja, C. R. E.
dc.date2002-12-19
dc.date.accessioned2026-07-07T04:53:54Z
dc.date.available2026-07-07T04:53:54Z
dc.descriptionWe 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0212260
dc.identifierhttp://arxiv.org/abs/math/0212260
dc.identifierMath. Nachr. 263/264 (2004), 198-203.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66035
dc.subjectProbability
dc.subjectClassical Analysis and ODEs
dc.subject60B15(primary); 42A85 (secondary)
dc.titleAbsolute continuity of autophage measures on finite-dimensional vector spaces
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