{
  "id": "1706.09046",
  "version": "v1",
  "published": "2017-06-21T16:14:33.000Z",
  "updated": "2017-06-21T16:14:33.000Z",
  "title": "Differential equations and the algebra of confluent spherical functions on semisimple Lie groups",
  "authors": [
    "Olufemi O. Oyadare"
  ],
  "comment": "36 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We consider the notion of a confluent spherical function on a connected semisimple Lie group, $G,$ with finite center and of real rank $1,$ and discuss the properties and relationship of its algebra with the well-known Schwartz algebra of spherical functions on $G.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-21T16:14:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A85",
      "22E30",
      "22E46"
    ],
    "keywords": [
      "confluent spherical function",
      "differential equations",
      "well-known schwartz algebra",
      "connected semisimple lie group",
      "finite center"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}