Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian
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.
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| Language: | English |
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Texas State University
2017-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/64/abstr.html |
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doaj-81e24f2d54f042daa0abef42e5aef4562020-11-24T23:29:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-03-01201764,112Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-LaplacianZakariyae Mouhcine0 Mohammed V Univ., Rabat, Morocco 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.http://ejde.math.txstate.edu/Volumes/2017/64/abstr.htmlQuaternionic Heisenberg groupCasimir-Laplacianresolvent kernelspectral densityGreen function Whittaker functiongeneralized Laguerre polynomials |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zakariyae Mouhcine |
| spellingShingle |
Zakariyae Mouhcine Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian Electronic Journal of Differential Equations Quaternionic Heisenberg group Casimir-Laplacian resolvent kernel spectral density Green function Whittaker function generalized Laguerre polynomials |
| author_facet |
Zakariyae Mouhcine |
| author_sort |
Zakariyae Mouhcine |
| title |
Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian |
| title_short |
Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian |
| title_full |
Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian |
| title_fullStr |
Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian |
| title_full_unstemmed |
Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian |
| title_sort |
spectral density on the quaternionic heisenberg group and a green kernel for fractional powers of its casimir-laplacian |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2017-03-01 |
| description |
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. |
| topic |
Quaternionic Heisenberg group Casimir-Laplacian resolvent kernel spectral density Green function Whittaker function generalized Laguerre polynomials |
| url |
http://ejde.math.txstate.edu/Volumes/2017/64/abstr.html |
| work_keys_str_mv |
AT zakariyaemouhcine spectraldensityonthequaternionicheisenberggroupandagreenkernelforfractionalpowersofitscasimirlaplacian |
| _version_ |
1725545157157191680 |