Proper $r$-harmonic functions from Riemannian manifolds

Abstract

We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n), SU(n), Sp(n), SLn(R), Sp(n, R), SU(p, q), SO(p, q), Sp(p, q), SO * (2n) and SU * (2n).