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arXiv · 1011.1314

Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type

Toshio Oshima·Nobukazu Shimeno
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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.

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BibTeXRIS

Toshio Oshima, Nobukazu Shimeno. 2011-06-04. Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type. https://arxiv.org/abs/1011.1314

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