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We characterize the image of the Poisson transform on any distinguishedboundary of a Riemannian symmetric space of the noncompact type by a system ofdifferential equations. The system corresponds to a generator system of a twosided ideals of an universal enveloping algebra, which are explicitly given byanalogues of minimal polynomials of matrices.

Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type