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.



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