Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type

Details Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type

2010-11-05

arxiv.org/abs/1011.1314v2

Mathematics

Representation Theory

Added dedicatory, corrected typos

Scientific paper

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.

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