Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian
| dc.contributor.author | Mouhcine, Zakariyae | |
| dc.date.accessioned | 2022-04-01T17:13:31Z | |
| dc.date.available | 2022-04-01T17:13:31Z | |
| dc.date.issued | 2017-03-04 | |
| dc.description.abstract | In 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Mouhcine, Z. (2017). Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian. <i>Electronic Journal of Differential Equations, 2017</i>(64), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15590 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Quaternionic Heisenberg group | |
| dc.subject | Casimir-Laplacian | |
| dc.subject | Resolvent kernel | |
| dc.subject | Spectral density | |
| dc.subject | Green function | |
| dc.subject | Whittaker function | |
| dc.subject | Generalized Laguerre polynomials | |
| dc.title | Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian | |
| dc.type | Article |