Mouhcine, Zakariyae2023-04-172023-04-172022-05-19Mouhcine, 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. 1-11.1072-6691https://hdl.handle.net/10877/16598In 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalH-type groupsSub-LaplacianResolvent kernelGreen kernelWhittaker functionArticle