This result is just the hyperbolic-space generalization of the standard decomposition of the Laplace operator in spherical coordinates in terms of the radial derivatives plus a term containing the square of the orbital angular momentum operator [L.
The spectrum n corresponds to the quantization of the angular momentum operator in the [x.
The generalized Dirac-Konstant equations in Clifford-spaces are obtained after introducing the generalized angular momentum operators 
mu]] in d - 1-dimensions can be written in terms of the standard angular momentum operators in (d - 1) + 2 = d + 1-dim as H = [C.
For ultraspherical expansions, an UP has been proved by Rosler and Voit in  making use of the Dunkl operator as the angular momentum operator.
2] as position operator and the angular momentum operator [OMEGA] -iL* = -I[eta] x [nabla]* as momentum operator where [nabla]* denotes the surface gradient and L* the surface curl gradient.