| Integrated Groups and Smooth Distribution Groups |
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| 引用本文： | Pedro J. MIANA. Integrated Groups and Smooth Distribution Groups[J]. 数学学报(英文版), 2007, 23(1): 57-64. DOI: 10.1007/s10114-005-0784-1 |
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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： | 2004-03-16 |
| 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(English Series), 2007, 23(1): 57-64. DOI: 10.1007/s10114-005-0784-1 |
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| Authors: | Pedro J. Miana |
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| Affiliation: | (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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