TY - JOUR
T1 - Nonlinear self-similar measures and their fourier transforms
AU - Glickenstein, David
AU - Strichartz, Robert S.
PY - 1996
Y1 - 1996
N2 - We study measures on ℝn that satisfy a nonlinear self-similar identity involving convolutions. We show that such measures are usually absolutely continuous, and the density has regularity properties that get stronger as the linear terms in the identity get smaller. When there are no linear terms, the density is C∞.
AB - We study measures on ℝn that satisfy a nonlinear self-similar identity involving convolutions. We show that such measures are usually absolutely continuous, and the density has regularity properties that get stronger as the linear terms in the identity get smaller. When there are no linear terms, the density is C∞.
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U2 - 10.1512/iumj.1996.45.1156
DO - 10.1512/iumj.1996.45.1156
M3 - Article
AN - SCOPUS:0039607991
SN - 0022-2518
VL - 45
SP - 205
EP - 220
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 1
ER -