期刊论文详细信息
Electronic Journal of Differential Equations | |
Resolvent kernel on H-type groups and a Green kernel for fractional powers of its sub-Laplacian | |
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
【 预 览 】
Files | Size | Format | View |
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RO202307120000413ZK.pdf | 316KB | download |