An Operator Related to the Sub-Laplacian on the Quaternionic Heisenberg Group

被引：0
|
作者：
Wang, Haimeng [1 ]
Wang, Bei [1 ]
机构：
[1] Jiangsu Second Normal Univ, Dept Math & Informat Technol, Nanjing 210013, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2022年 / 32卷 / 02期
关键词：
Fundamental solution; The group Fourier transform; The non-isotropic quaternionic Heisenberg group; Sub-Laplacian; DIFFERENTIAL-OPERATORS; FUNDAMENTAL SOLUTION; COMPLEX; KERNEL;
D O I：
10.1007/s00006-022-01206-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an operator related to the sub-Laplacian on the non-isotropic quaternionic Heisenberg group and construct the fundamental solution for this operator. For the isotropic case, we derive the closed form of this solution. The techniques we used can be applied to the standard Heisenberg group. We also give the connection between this operator and the Heisenberg sub-Laplacian.
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页数：27
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