TY - INPR
A1 - Mörters, Peter
T1 - Symmetry properties of average densities and tangent measure distributions of measures on the line
N2 - Answering a question by Bedford and Fisher we show that for every Radon measure on the line with positive and finite lower and upper densities the one-sided average densities always agree with one half of the circular average densities at almost every point. We infer this result from a more general formula, which involves the notion of a tangent measure distribution introduced by Bandt and Graf. This formula shows that the tangent measure distributions are Palm distributions and define self-similar random measures in the sense of U. Zähle.
T3 - Preprints (rote Reihe) des Fachbereich Mathematik - 292
KW - geometry of measures
KW - average densities
KW - order-two densities
KW - tangent measure distributions
KW - Palm distributions
Y1 - 1995
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/818
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-7879
ER -