Riesz products on the ring of dyadic integers

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:357

Article

Zhang, Xiong-Ying

关键词: Riesz products;    Ring of dyadic integers;    Lacunary series;    Hausdorff dimension;   

DOI  :  10.1016/j.jmaa.2009.03.067

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free