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

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