Almost Everywhere Convergence of Riesz-Raikov Series
Fan, Ai
Colloquium Mathematicae, Tome 68 (1995), p. 241-248 / Harvested from The Polish Digital Mathematics Library
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Let T be a d×d matrix with integer entries and with eigenvalues >1 in modulus. Let f be a lipschitzian function of positive order. We prove that the series ∑n=1∞cnf(Tnx) converges almost everywhere with respect to Lebesgue measure provided that ∑n=1∞|cn|2log2n<∞.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:210308 
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     title = {Almost Everywhere Convergence of Riesz-Raikov Series},
     journal = {Colloquium Mathematicae},
     volume = {68},
     year = {1995},
     pages = {241-248},
     zbl = {0868.28009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv68i2p241bwm}
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Fan, Ai. Almost Everywhere Convergence of Riesz-Raikov Series. Colloquium Mathematicae, Tome 68 (1995) pp. 241-248. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv68i2p241bwm/

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