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

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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. Electronic Journal of Differential Equations, 2017(64), pp. 1-12.

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Attribution 4.0 International

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