Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures
Lau, Ka-Sing ; Wang, Jian-Rong ; Chu, Cho-Ho
Studia Mathematica, Tome 113 (1995), p. 1-28 / Harvested from The Polish Digital Mathematics Library
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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 Lp-dimension, the Lp-density and the Fourier transformation of vector-valued self-similar measures. The results answer some questions raised by Strichartz.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216238 
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     title = {Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures},
     journal = {Studia Mathematica},
     volume = {113},
     year = {1995},
     pages = {1-28},
     zbl = {0839.43002},
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Lau, Ka-Sing; Wang, Jian-Rong; Chu, Cho-Ho. Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures. Studia Mathematica, Tome 113 (1995) pp. 1-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv117i1p1bwm/

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