| 奇异的正则半群和积分半群 |
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| 引用本文： | 李淼,黄发伦.奇异的正则半群和积分半群[J].四川大学学报(自然科学版),2001,38(6):781-787. |
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| 作者姓名： | 李淼 黄发伦 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 基金项目： | TheYouthScienceFoundationofSichuanUniversityandtheNationalNatureScienceFoundationofChina. |
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| 摘 要： | 关于t>0连续的正则半群和积分半群称为奇异的.作者证明一个奇异的正则半群总可以正则化为一个正则半群,而一个奇异的n-次积分半群的生成元也是一个可微的(n+1)-次积分半群的生成元.
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| 关 键 词： | 正则半群 积分半群 生成元 奇异性 |
SINGULAR REGULARIZED
SEMIGROUPS AND INTEGRATED SEMIGROUPS |
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| LI Miao,HUANG Falun.SINGULAR REGULARIZED
SEMIGROUPS AND INTEGRATED SEMIGROUPS[J].Journal of Sichuan University (Natural Science Edition),2001,38(6):781-787. |
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| Authors: | LI Miao HUANG Falun |
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| Abstract: | Regularized semigroups and integrated semigroups that are continuous for t>0 are called singular. The authors show that a singular regularized semigroup can be re regularized to a regularized one, and the generator of a singular n times integrated semigroup is in fact a generator of a differentiable (n 1) times integrated semigroup. |
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| Keywords: | regularized semigroup integrated semigroup generator singular |
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