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

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dc.contributor.authorMouhcine, Zakariyae
dc.date.accessioned2023-04-17T21:11:23Z
dc.date.available2023-04-17T21:11:23Z
dc.date.issued2022-05-19
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMouhcine, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16598
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectH-type groups
dc.subjectSub-Laplacian
dc.subjectResolvent kernel
dc.subjectGreen kernel
dc.subjectWhittaker function
dc.titleResolvent kernel on H-type groups and a Green kernel for fractional powers of its sub-Laplacian
dc.typeArticle

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