Geodesic
Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures
Studia Mathematica, Tome 117 (1995) no. 1, pp. 1-28

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The Choquet-Deny theorem and Deny's theorem are extended to the vector-valued case. They are applied to give a simple nonprobabilistic proof of the vector-valued renewal theorem, which is used to study the $L^p$-dimension, the $L^p$-density and the Fourier transformation of vector-valued self-similar measures. The results answer some questions raised by Strichartz.
DOI : 10.4064/sm-117-1-1-28
Keywords: Choquet-Deny theorem, convolution, exponential function, matrices, renewal equation, self-similar measures

Ka-Sing Lau 1

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Ka-Sing Lau. Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures. Studia Mathematica, Tome 117 (1995) no. 1, pp. 1-28. doi: 10.4064/sm-117-1-1-28

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