摘要
研究了随机Dirichlet级数的增长性以及H值随机Dirichlet级数在水平直线上的增长性。讨论了随机Dirichlet级数在Hilbert空间上取值的情况,得出重要结论:H值随机Dirichlet级数,不论它们的收敛域是全平面还是半平面,它们a.s.在每一条水平半直线上,并且所有带形上与整个收敛域上有相同的增长级。
Mainly studies growth of the random Dirichlet series and growth of the H talues random Dirichlet series on the horizontal lines. Discusses the value of rendom Dirichlet series in the Hilbert space. Some important results are obtained：the H values random Dirichlet series ,no matter their convergence domain is the whole plane or half plane ,they a.s. have the same growth on every hori-zontal line as well as every strip and the whole convergence domain.
出处
《江汉大学学报（自然科学版）》
2014年第4期20-24,共5页
Journal of Jianghan University：Natural Science Edition
