We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this method for the important semisimple Lie groups SO(n), SU(n), Sp(n), SLn(R), Sp(R,n), SU(p,q), SO(p,q), Sp(p,q), SO∗(2n) and SU∗(2n).
@article{arxiv.1910.06166,
title = {Proper $r$-harmonic functions from Riemannian manifolds},
author = {Sigmundur Gudmundsson and Marko Sobak},
journal= {arXiv preprint arXiv:1910.06166},
year = {2019}
}