A note on Hermite and subelliptic operators

被引：9
|
作者：
Chang, DC [1 ]
Tie, JZ
机构：
[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA
[2] Univ Georgia, Dept Math, Athens, GA 30602 USA
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 04期
关键词：
Hermite operator; Heisenberg group; sub-Laplacian; Gruhsin operator; heat kernel; Laguerre function;
D O I：
10.1007/s10114-004-0336-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we compute the fundamental solution for the Hermite operator with singularity at an arbitrary point y is an element of R-n. We also apply this result to obtain the fundamental solutions for the Grushin operator in R-2 and the sub-Laplacian in the Heisenberg group H-n.
引用
收藏
页码：803 / 818
页数：16
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