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

journal of geometric analysis/the journal of geometric analysis

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