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dc.contributor.authorMouhcine, Zakariyae ( )
dc.date.accessioned2022-04-01T17:13:31Z
dc.date.available2022-04-01T17:13:31Z
dc.date.issued2017-03-04
dc.identifier.citationMouhcine, Z. (2017). Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian. Electronic Journal of Differential Equations, 2017(64), pp. 1-12.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15590
dc.description.abstractIn this article, we introduce a new integral representation of the resolvent kernel for the Casimir-Laplacian on the quaternionic Heisenberg group which was obtained in [14] and then find its spectral density. Also we obtain the Green kernel for fractional powers of the Casimir-Laplace operator.en_US
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQuaternionic Heisenberg groupen_US
dc.subjectCasimir-Laplacianen_US
dc.subjectResolvent kernelen_US
dc.subjectSpectral densityen_US
dc.subjectGreen functionen_US
dc.subjectWhittaker functionen_US
dc.subjectGeneralized Laguerre polynomialsen_US
dc.titleSpectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacianen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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