{
  "id": "math/0305388",
  "version": "v2",
  "published": "2003-05-27T22:57:01.000Z",
  "updated": "2003-11-23T19:43:25.000Z",
  "title": "Pointwise convergence of averages along cubes",
  "authors": [
    "Idris Assani"
  ],
  "comment": "18 pages, latex, We have replaced Lemma 2 with a new one. We also have added a reference",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $(X,\\mathcal{B},\\mu, T)$ be a measure preserving system. We prove the pointwise convergence of the averages $$\\frac{1}{N^2}\\sum_{n,m= 0}^{N-1} f_1(T^nx)f_2(T^mx)f_3(T^{n+m}x)$$ and of similar averages with seven bounded functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-11-23T19:43:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A30"
    ],
    "keywords": [
      "pointwise convergence",
      "measure preserving system",
      "similar averages"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5388A"
    }
  }
}