| 二重B-值随机Dirichlet级数收敛性 |
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| 引用本文： | 危黎黎.二重B-值随机Dirichlet级数收敛性[J].湖北大学学报(自然科学版),2007,29(3):228-231,245. |
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| 作者姓名： | 危黎黎 |
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| 作者单位： | 湖北大学数学与计算机科学学院 湖北武汉430062 |
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| 基金项目： | 国家自然科学基金(201160132)资助课题 |
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| 摘 要： | 研究二重B-值随机变量列{Xmm}在某阶矩一致有界条件下的性质,结合有关二重Dirichlet级数的成果,证明在一定条件下,二重B-值随机Dirichlet级数∑ ∞m=1∑ ∞n=1amnXmne-λms-μnta.s.几乎必然与二重Dirichlet级数∑ ∞m=1∑ ∞n=1amne-λms-μnt有相同的成对的相关收敛横坐标.
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| 关 键 词： | 二重B-值Dirichlet级数 二重B-值随机Dirichlet级数 相关收敛横坐标 |
| 文章编号： | 1000-2375（2007）03-0228-04 |
| 收稿时间： | 2006-03-03 |
| 修稿时间： | 2006-03-03 |
On the convergence of the double B-valued random Dirichlet series |
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| WEI Li-li.On the convergence of the double B-valued random Dirichlet series[J].Journal of Hubei University(Natural Science Edition),2007,29(3):228-231,245. |
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| Authors: | WEI Li-li |
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| Institution: | School of Mathematics and Computer Science, Hubei Univerisity, Wuhan 430062, China |
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| Abstract: | The properties of a double sequence of B-valued random variable with some uniform bounded moments are studied.By these properties and some results on double B-valued Dirichlet series the following results are abtained.Under suitable conditions,the double B-valued random Dirichlet series has as.the same associated abscissas of convergence as the corresponding double B-valued Dirichlet series. |
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| Keywords: | double B-valued random Dirichlet series associared abscissas of convergence valiron formula |
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