Resolvent kernel on H-type groups and a Green kernel for fractional powers of its sub-Laplacian

Electronic Journal of Differential Equations

article

Zakariyae Mouhcine¹ 

[1] Laboratory of Modeling and Mathematical Structures Department of Mathematics Faculty of Science and Technology of Fez, Box 2202 University S. M. Ben Abdellah Fez

关键词: H-type groups;    sub-Laplacian;    resolvent kernel;    Green kernel;    Whittaker function.;   

DOI  :  10.58997/ejde.2022.39

学科分类：数学（综合）

来源: Texas State University

【 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.

【 授权许可】

CC BY