Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian

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.

Bibliographic Details
Main Author: Zakariyae Mouhcine
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Quaternionic Heisenberg group
Casimir-Laplacian
resolvent kernel
spectral density
Green function
Whittaker function
generalized Laguerre polynomials
Online Access:http://ejde.math.txstate.edu/Volumes/2017/64/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2017/64/abstr.html

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