Nicolae Anghel
Department of Mathematics, University of North Texas, Denton, TX 76203
The spectrum of spherical Dirac-type operators
A general way of investigating the spectrum of operators induced on Euclidean
spheres by graded Euclidean Dirac-type operators will be presented. The key
ingredients in accomplishing this will be a separation of variables and a
description of the spaces of homogeneous harmonic functions on punctured
Euclidean spaces. Standard results regarding the spectrum of the classical
spherical Dirac operator or the spherical Laplace-Beltrami operator will then
be easily recovered.