Resolvent kernel on H-type groups and a Green kernel for fractional powers of its sub-Laplacian
[摘要] In this article, we give an integral representation of the resolvent kernel on H-type groups, then we derive an integral representation of Kaplan's fundamental solution on this groups. Also we obtain the Green kernel for fractional powers of its sub-Laplacian.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] H-type groups;sub-Laplacian;resolvent kernel;Green kernel;Whittaker function. [时效性]
