Explicit Proper p-Harmonic Functions on the Riemannian Symmetric Spaces SU (n) /SO (n), Sp (n) /U (n), SO (2n) /U (n), SU (2n) /Sp (n)

Abstract In this work we construct explicit complex-valued p -harmonic functions on the compact Riemannian symmetric spaces SU (n) /SO (n) SU (n) / SO (n), Sp (n) /U (n) Sp (n) / U (n), SO (2n) /U (n) SO (2 n) / U (n), SU (2n) /Sp (n) SU (2 n) / Sp (n). We also describe how the same can be manufactured on their non-compact symmetric dual spaces.