{
  "id": "math/0502277",
  "version": "v5",
  "published": "2005-02-13T22:52:41.000Z",
  "updated": "2006-04-03T01:05:17.000Z",
  "title": "Harmonic analysis and dynamics for affine iterated function systems",
  "authors": [
    "Dorin E. Dutkay",
    "Palle E. T. Jorgensen"
  ],
  "comment": "new version, we followed the comments of the referee and rewrote the introductory sections",
  "journal": "Houston J. Math. 33 (2007), no. 3, 877--905.",
  "categories": [
    "math.DS"
  ],
  "abstract": "We introduce a harmonic analysis for a class of affine iteration models in $\\br^d$. Using Hilbert-space geometry, we develop a new duality notion for affine and contractive iterated function systems (IFSs) and we construct some identities for the Fourier transform of the measure corresponding to infinite Bernoulli convolutions.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2006-04-03T01:05:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A85",
      "42C25",
      "26A30",
      "28A80",
      "60G42",
      "47B80"
    ],
    "keywords": [
      "affine iterated function systems",
      "harmonic analysis",
      "affine iteration models",
      "infinite bernoulli convolutions",
      "duality notion"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2277D"
    }
  }
}