PDE and Spectral Geometry, Laboratory of Analysis and Applications - URAC/03
Department of Mathematics, Faculty of Sciences,
Mohammed V University in Rabat
Rabat, Morocco
email: zakariyaemouhcine@gmail.com
Zakariyae Mouhcine
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.
Submitted February 6, 2017. Published March 4, 2017.
Math Subject Classifications: 22E30, 47B34, 47A10, 35P05.
Key Words: Quaternionic Heisenberg group; Casimir-Laplacian; resolvent kernel;
spectral density; Green function; Whittaker function;
generalized Laguerre polynomials.
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Zakariyae Mouhcine PDE and Spectral Geometry, Laboratory of Analysis and Applications - URAC/03 Department of Mathematics, Faculty of Sciences, Mohammed V University in Rabat Rabat, Morocco email: zakariyaemouhcine@gmail.com |
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