| 四元素Heisenberg群上次Laplace算子的平均值定理和不确定原理 |
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| 引用本文： | 王家林,钮鹏程.四元素Heisenberg群上次Laplace算子的平均值定理和不确定原理[J].系统科学与数学,2009,29(2):280-288. |
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| 作者姓名： | 王家林 钮鹏程 |
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| 作者单位： | 西北工业大学应用数学系,西安,710072 |
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| 摘 要： | 给出四元素Heisenberg群上次Laplace算子的平均值定理,并用其导出Hardy不等式和不确定原理.
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| 关 键 词： | 四元素Heisenberg群 平均值定理 Hardy不等式 不确定原理 |
| 收稿时间： | 2006-6-14 |
The Mean Value Theorem and Uncertainty Principle for theSub-Laplacian on the Quaternionic Heisenberg Group |
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| WANG Jia-lin,NIU Peng-cheng.The Mean Value Theorem and Uncertainty Principle for theSub-Laplacian on the Quaternionic Heisenberg Group[J].Journal of Systems Science and Mathematical Sciences,2009,29(2):280-288. |
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| Authors: | WANG Jia-lin NIU Peng-cheng |
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| Institution: | Department of Applied Mathematics, Northwestern PolytechnicalUniversity, Xi'an 710072 |
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| Abstract: | In this paper, the mean value theorem for the sub-Laplacianon the quaternionic Heisenberg group is given. As an application, the Hardy inequality and the uncertainty principle are established. |
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| Keywords: | Quatertionic Heisenberg group mean value theorem Hardyinequality uncertainty principle |
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