| Integrated Groups and Smooth Distribution Groups |
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| 作者姓名： | Pedro J. MIANA |
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| 作者单位： | Departamento de Matemáticas, Universidad de Zaragoza, 50009, Spain |
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| 基金项目： | Partially supported by the Spanish Project MTM2004-03036, MCYT DGI- FEDER. and the DGA Project ＂Análisis Matemático y Aplicaciones＂ E-12/25.Acknowledgements The author wishes to thank Dr. José E. Galé for suggestions and comments during the preparation of this paper. |
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| 摘 要： | In this paper, we prove directly that α-times integrated groups define algebra homomorphisms. We also give a theorem of equivalence between smooth distribution groups and α-times integrated groups.
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| 关 键 词： | 完整群 分布群 Weyl部分微积分学 群论 光滑性 |
| 收稿时间： | 16 March 2004 |
| 修稿时间： | 2004-03-162005-06-10 |
Integrated Groups and Smooth Distribution Groups |
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| Pedro J. MIANA.Integrated Groups and Smooth Distribution Groups[J].Acta Mathematica Sinica,2007,23(1):57-64. |
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| Authors: | Pedro J Miana |
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| Institution: | (1) Departamento de Matemáticas, Universidad de Zaragoza, Zaragoza, 50009, Spain |
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| Abstract: | In this paper, we prove directly that α-times integrated groups define algebra homomorphisms. We also give a theorem of equivalence
between smooth distribution groups and α-times integrated groups.
Partially supported by the Spanish Project MTM2004-03036, MCYT DGI–FEDER and the DGA Project “Análisis Matemático y Aplicaciones”
E-12/25 |
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| Keywords: | integrated groups distribution groups Weyl fractional calculus |
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