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.
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Gudmundsson et al. (2022) studied this question.