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arXiv:1011.1314 [math.RT]AbstractReferencesReviewsResources

Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type

Toshio Oshima, Nobukazu Shimeno

Published 2010-11-05, updated 2011-06-04Version 2

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.

Comments: Added dedicatory, corrected typos
Categories: math.RT
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