THE HEAT KERNEL ON THE CAYLEY HEISENBERG GROUP 被引量：2

THE HEAT KERNEL ON THE CAYLEY HEISENBERG GROUP

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摘要 The authors obtain an explicit expression of the heat kernel for the Cayley Heisenberg group of order n by using the stochastic integral method of Gaveau. Apart from the standard Heisenberg group and the quaternionic Heisenberg group, this is the only nilpotent Lie group on which an explicit formula for the heat kernel has been obtained. The authors obtain an explicit expression of the heat kernel for the Cayley Heisenberg group of order n by using the stochastic integral method of Gaveau. Apart from the standard Heisenberg group and the quaternionic Heisenberg group, this is the only nilpotent Lie group on which an explicit formula for the heat kernel has been obtained.

作者栾静闻朱赋鎏

机构地区 School of Mathematics and Statistics

出处《Acta Mathematica Scientia》 SCIE CSCD 2005年第4期687-702,共16页 数学物理学报（B辑英文版）

基金 SupportedbytheNationalNatureScienceFoundationofChina(10261002)

关键词 Cayley Heisenberg group heat kernel sub-Laplace operator Cayley Heisenberg group, heat kernel, sub-Laplace operator

分类号 O152 [理学—基础数学]

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参考文献2

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共引文献4

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同被引文献14

1Jing Wen LUAN Fu Liu ZHU.Asymptotics for Certain Harmonic Functions and the Martin Compactification on the Quaternionic Heisenberg Group[J].Acta Mathematica Sinica,English Series,2005,21(6):1295-1308. 被引量：4
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引证文献2

1朱赋鎏,杨乔华.HEAT KERNELS AND HARDY'S UNCERTAINTY PRINCIPLE ON H-TYPE GROUPS[J].Acta Mathematica Scientia,2008,28(1):171-178.
2栾静闻,朱赋鎏.凯莱-海森堡群上的格林函数(英文)[J].数学杂志,2009,29(4):395-400.

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