| 关于测度和无穷伯努利卷积的一个注记 |
| |
| 引用本文： | 许强. 关于测度和无穷伯努利卷积的一个注记[J]. 徐州师范大学学报(自然科学版), 2002, 20(2): 9-11 |
| |
| 作者姓名： | 许强 |
| |
| 作者单位： | 徐州师范大学,数学系,江苏,徐州,221116 |
| |
| 摘 要： | 设α：={αi}i^∞=1是正实数序列，μα是支撑在Sμα上的无穷伯努利卷积，本文给出了Sμα的Hausdorff维数和Hausdorff测度，它改进了Cooper M J P的相应结果。
|
| 关 键 词： | 无穷伯努利卷积 Hausdorff维数 Hausdorff测度 正实数序列 |
A Note on Measure and Infinite Bernoulli Convolutions |
| |
| XU Qiang. A Note on Measure and Infinite Bernoulli Convolutions[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2002, 20(2): 9-11 |
| |
| Authors: | XU Qiang |
| |
| Abstract: | Let a:={ai}∞i=1 be a sequence of positive real numbers and μa be the infinite Bernoulli convolution with support denoted by Sμa and defined by the sequence. In this paper, the Hausdorff dimension and measure of Sμa are given , which improve M J P Cooper′s result. |
| |
| Keywords: | Hausdorff dimension Hausdorff measure Bernoulli convolution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
