{
  "id": "math/0611539",
  "version": "v3",
  "published": "2006-11-17T20:01:45.000Z",
  "updated": "2007-06-07T15:00:42.000Z",
  "title": "The algebra of harmonic functions for a matrix-valued transfer operator",
  "authors": [
    "Dorin Ervin Dutkay",
    "Kjetil Roysland"
  ],
  "comment": "v2, corrected some typos",
  "journal": "J. Funct. Anal. 252 (2007), no. 2, 734--762.",
  "categories": [
    "math.FA",
    "math.DS"
  ],
  "abstract": "We analyze matrix-valued transfer operators. We prove that the fixed points of transfer operators form a finite dimensional $C^*$-algebra. For matrix weights satisfying a low-pass condition we identify the minimal projections in this algebra as correlations of scaling functions, i.e., limits of cascade algortihms.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-06-07T15:00:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C40",
      "37A55",
      "42C40"
    ],
    "keywords": [
      "harmonic functions",
      "analyze matrix-valued transfer operators",
      "transfer operators form",
      "cascade algortihms",
      "finite dimensional"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11539E"
    }
  }
}