Spectral density on the quaternionic Heisenberg group and a Green kernel for fractional powers of its Casimir-Laplacian
Date
2017-03-04
Authors
Mouhcine, Zakariyae
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Quaternionic Heisenberg group, Casimir-Laplacian, Resolvent kernel, Spectral density, Green function, Whittaker function, Generalized Laguerre polynomials
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.
Rights
Attribution 4.0 International