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| ALMOST SURE AND QUASI-SURE GROWTH OF DIRICHLET SERIES |
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Citation： |
Yu Jiarong.ALMOST SURE AND QUASI-SURE GROWTH OF DIRICHLET SERIES[J].Chinese Annals of Mathematics B,1996,17(3):343~348 |
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Net amount： 690 |
Authors： |
Yu Jiarong; |
Foundation： |
Project supported by the National Natural Science
Foundation and the Doctoral Foundation of China |
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| 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 suitable
sequence 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 |
Classification： |
40A05 |
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