Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups

被引：1

作者：

Jin, Yongyang ^{[1
]}

Zhang, Genkai ^{[2
,3
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310032, Zhejiang, Peoples R China

[2] Chalmers, Dept Math, S-41296 Gothenburg, Sweden

[3] Gothenburg Univ, Gothenburg, Sweden

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2011年 / 54卷 / 01期

基金：

瑞典研究理事会;

关键词：

SUBELLIPTIC OPERATORS; HERMITE;

D O I：

10.4153/CMB-2010-086-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the fundamental solutions of Kohn sub-Laplacians Delta+i alpha partial derivative(t) on the anisotropic Heisenberg groups are tempered distributions and have meromorphic continuation in alpha with simple poles. We compute the residues and find the partial fundamental solutions at the poles. We also find formulas for the fundamental solutions for some matrix-valued Kohn type sub-Laplacians on H-type groups.

引用

页码：126 / 140

页数：15

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