| ALMOST SURE AND QUASI-SURE GROWTH OF DIRICHLET SERIES |
| |
| 引用本文： | Yu Jiarong. ALMOST SURE AND QUASI-SURE GROWTH OF DIRICHLET SERIES[J]. 数学年刊B辑(英文版), 1996, 17(3): 343-348 |
| |
| 作者姓名： | Yu Jiarong |
| |
| 作者单位： | Department of Mathematics，Wuhan Uniyersity，Wuhan 430072，China. |
| |
| 摘 要： | GivenaDirichletseriesabsolutelyconvergentintherighthalfplanewecanclassifyitsgrowthaccordingtotheRittorder(order(R))[4,5].Multiplyingthetermsofthisseriesbymembersofsomesequencewefindthattheseriesobtainedisofthesameorder(R)oncountablymanyhorizoata1halflinesinthishalfplane.Bymeansofsomeprobabilityortopologicalspaceswecanconstructsequenceshavingtheabovepropertyandintroducethusalmostsureandquasi-suregrowthofDirichletseriesonhorizontalhalfline8.TheseresultscanbeextendedtoDirichletseriesabsolutelyc…
|
| 关 键 词： | Dirichlet级数 增长性 拟增长性 适合序列 |
| 收稿时间： | 1993-10-04 |
ALMOST SURE AND QUASI-SURE GROWTH OF DIRICHLET SERIES |
| |
| Yu Jiarong. ALMOST SURE AND QUASI-SURE GROWTH OF DIRICHLET SERIES[J]. Chinese Annals of Mathematics,Series B, 1996, 17(3): 343-348 |
| |
| Authors: | Yu Jiarong |
| |
| Affiliation: | DepartmentofMathematics,WuhanUniversity,Wuhan430072,China. |
| |
| Abstract: | For a given Dirichlet series absolutely convergent and of order $(R) {rho}{in}{(0,{+infty})}$ in the right-half plan, its terms can be multiplied respectively by the members of a suitablesequence defined in a probability or topological space such that the series obtained is of order $(R){rho}$ on any one of countably infinite horizontal half-lines almost or quasi surely. |
| |
| Keywords: | Dirichlet series Almost sure growth Quasi-sure growth |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊B辑(英文版)》下载全文 |
