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The Mean Value Theorem and Uncertainty Principle for theSub-Laplacian on the Quaternionic Heisenberg Group
四元素Heisenberg群上次Laplace算子的平均值定理和不确定原理

Keywords: Quatertionic Heisenberg group,mean value theorem,Hardyinequality,uncertainty principle
四元素Heisenberg群
,平均值定理,Hardy不等式,不确定原理

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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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