Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type

Abstract

We characterize the image of the Poisson transform on any distinguished boundary of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a generator system of a two sided ideals of an universal enveloping algebra, which are explicitly given by analogues of minimal polynomials of matrices.

Added dedicatory, corrected typos