no. 3
On a theorem of Saeki concerning convolution squares of singular measures
[Carrés de convolution des mesures singulières]
Bulletin de la Société Mathématique de France, Tome 136 (2008) no. 3, pp. 439-464

If 1>α>1/2, then there exists a probability measure μ such that the Hausdorff dimension of the support of μ is α and μ*μ is a Lipschitz function of class α-1 2.

Si 1>α>1/2, alors il existe une mesure de probabilité μ avec support de dimension d’Hausdorff α tel que μ*μ est une fonction Lipschitz de classe α-1 2.

DOI : 10.24033/bsmf.2562
Classification : 42A16
Keywords: convolution square, self convolution, singular measure
Mots-clés : convolution carr'ee, mesure singuliére 
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Körner, Thomas. On a theorem of Saeki concerning convolution squares of singular measures. Bulletin de la Société Mathématique de France, Tome 136 (2008) no. 3, pp. 439-464. doi: 10.24033/bsmf.2562

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