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Absolute continuity of autophage measures on finite-dimensional vector spaces

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{sub p} 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. (author)
Authors:
Raja, C R.E.; [1]  . E-mail: creraja@isibang.ac.in [2] 
  1. Stat-Math Unit, Indian Statistical Institute, Bangalore (India)
  2. Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Publication Date:
Jun 01, 2002
Product Type:
Technical Report
Report Number:
IC-2002/48
Resource Relation:
Other Information: 10 refs; PBD: Jun 2002
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; MEASURE THEORY; VECTORS
OSTI ID:
20288363
Research Organizations:
Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
TRN: XA0202821050395
Availability:
Available from INIS in electronic form; Also available at: http://www.ictp.trieste.it
Submitting Site:
INIS
Size:
8 pages
Announcement Date:
Oct 23, 2002

Citation Formats

Raja, C R.E., and . E-mail: creraja@isibang.ac.in. Absolute continuity of autophage measures on finite-dimensional vector spaces. IAEA: N. p., 2002. Web.
Raja, C R.E., & . E-mail: creraja@isibang.ac.in. Absolute continuity of autophage measures on finite-dimensional vector spaces. IAEA.
Raja, C R.E., and . E-mail: creraja@isibang.ac.in. 2002. "Absolute continuity of autophage measures on finite-dimensional vector spaces." IAEA.
@misc{etde_20288363,
title = {Absolute continuity of autophage measures on finite-dimensional vector spaces}
author = {Raja, C R.E., and . E-mail: creraja@isibang.ac.in}
abstractNote = {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{sub p} 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. (author)}
place = {IAEA}
year = {2002}
month = {Jun}
}