| H值随机Dirichlet级数在水平直线上的增长性 |
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| 引用本文： | 孙飞.H值随机Dirichlet级数在水平直线上的增长性[J].江汉大学学报(自然科学版),2014(4):20-24. |
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| 作者姓名： | 孙飞 |
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| 作者单位： | 湖北大学数学与统计学学院,湖北武汉430062 |
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| 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。
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| 关 键 词： | 随机Dirichlet级数 Hilbert空间 收敛 |
Growth of H Values Random Dirichlet Series on Horizontal Lines |
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| SUN Fei.Growth of H Values Random Dirichlet Series on Horizontal Lines[J].Journal of Jianghan University:Natural Sciences,2014(4):20-24. |
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| Authors: | SUN Fei |
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| Institution: | SUN Fei (School of Mathematics and Statistics, Hubei University, Wuhan 430062, Hubei, China) |
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| Abstract: | 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. |
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| Keywords: | random Dirichlet series Hilbert space convergence |
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