English

Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type

Representation Theory 2011-06-07 v2

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.

Keywords

Cite

@article{arxiv.1011.1314,
  title  = {Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type},
  author = {Toshio Oshima and Nobukazu Shimeno},
  journal= {arXiv preprint arXiv:1011.1314},
  year   = {2011}
}

Comments

Added dedicatory, corrected typos