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.identifier.citation | Mouhcine, 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.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/15590 | |
| 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. | en_US |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Quaternionic Heisenberg group | en_US |
| dc.subject | Casimir-Laplacian | en_US |
| dc.subject | Resolvent kernel | en_US |
| dc.subject | Spectral density | en_US |
| dc.subject | Green function | en_US |
| dc.subject | Whittaker function | en_US |
| dc.subject | Generalized Laguerre polynomials | en_US |
| dc.title | Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. |
