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 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).

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