二重B-值随机Dirichlet级数收敛性  

On the convergence of the double B-valued random Dirichlet series

作　　者：危黎黎[1] 

机构地区：[1]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2007年第3期228-231,245,共5页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(201160132)资助课题

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.The properties of a double sequence of B-valued random variable with some uniform bounded moments are studied. series the following results are By these abtained. properties and some results on double B-valued Dirichlet 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.

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 

分 类 号：O211.5[理学—概率论与数理统计]