{
  "id": "1509.07063",
  "version": "v1",
  "published": "2015-09-23T17:10:03.000Z",
  "updated": "2015-09-23T17:10:03.000Z",
  "title": "Quasi-Radial and Radial Toeplitz Operators on the Unit Ball and Representation Theory",
  "authors": [
    "Raul Quiroga-Barranco"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We study Toeplitz operators with quasi-radial and radial symbols on the weighted Bergman spaces on the unit ball. The unitary equivalence of such operators with multiplication operators on $\\ell^2$ spaces was previously obtained by analytic methods elsewhere (see the references), respectively. We prove that the same constructions can be performed with a purely representation theoretic approach to obtain the same conclusions and formulas. However, our method is shorter, more elementary and more elucidating.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-23T17:10:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "32A36",
      "22E46",
      "32M15"
    ],
    "keywords": [
      "radial toeplitz operators",
      "unit ball",
      "representation theory",
      "quasi-radial",
      "study toeplitz operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907063Q"
    }
  }
}