Resolvent kernel on H-type groups and a Green kernel for fractional powers of its sub-Laplacian
Date
2022-05-19
Authors
Mouhcine, Zakariyae
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
H-type groups, Sub-Laplacian, Resolvent kernel, Green kernel, Whittaker function
Citation
Mouhcine, Z. (2022). Resolvent kernel on H-type groups and a Green kernel for fractional powers of its sub-Laplacian. <i>Electronic Journal of Differential Equations, 2022</i>(39), pp. 1-11.
Rights
Attribution 4.0 International