{ "id": "1011.1314", "version": "v2", "published": "2010-11-05T03:02:24.000Z", "updated": "2011-06-04T05:33:45.000Z", "title": "Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type", "authors": [ "Toshio Oshima", "Nobukazu Shimeno" ], "comment": "Added dedicatory, corrected typos", "categories": [ "math.RT" ], "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.", "revisions": [ { "version": "v2", "updated": "2011-06-04T05:33:45.000Z" } ], "analyses": { "keywords": [ "riemannian symmetric space", "boundary value problems", "noncompact type", "differential equations", "system corresponds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1011.1314O" } } }