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

页码：803 / 818

页数：16

共 17 条

[1]

Andrews GE, 1999, ENCY MATH ITS APPL, V71

[2] A note on fundamental solutions [J].