Riesz products on the ring of dyadic integers |
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| Authors: | Xiong-Ying Zhang |
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| Affiliation: | Department of Mathematics, South China University of Technology, 510640 Guangzhou, China |
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| Abstract: | A class of Riesz products on the ring of dyadic integers is introduced. Using almost everywhere convergence of certain series, Hausdorff dimension of these Riesz products is determined. Other properties, such as mutually absolute continuity, quasi-invariance and quasi-Bernoulli property, are also discussed. |
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| Keywords: | Riesz products Ring of dyadic integers Lacunary series Hausdorff dimension |
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