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四元素Heisenberg群上次Laplace算子的平均值定理和不确定原理

THE MEAN VALUE THEOREM AND UNCERTAINTY PRINCIPLE FOR THE SUB-LAPLACIAN ON THE QUATERNIONIC HEISENBERG GROUP
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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. In this paper, the mean value theorem for the sub-Laplacian on the quaternionic Heisenberg group is given. As an application, the Hardy inequality and the uncertainty principle are established.
出处 《系统科学与数学》 CSCD 北大核心 2009年第2期280-288,共9页 Journal of Systems Science and Mathematical Sciences
基金 陕西省自然科学基础研究计划(2006A09) 西北工业大学科技创新基金(2007KJ01012) 国家自然科学基金(Grant 10871157)资助项目.
关键词 四元素Heisenberg群 平均值定理 HARDY不等式 不确定原理. Quatertionic Heisenberg group, mean value theorem, Hardy inequality, uncertainty principle.
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