{
  "id": "1407.4069",
  "version": "v1",
  "published": "2014-07-15T17:45:17.000Z",
  "updated": "2014-07-15T17:45:17.000Z",
  "title": "Non-Haar MRA on local fields of positive characteristic",
  "authors": [
    "Sergey Lukomskii",
    "Alexander Vodolazov"
  ],
  "comment": "31 pages. arXiv admin note: text overlap with arXiv:1303.5635",
  "categories": [
    "math.NT"
  ],
  "abstract": "We propose a simple method to construct integral periodic mask and corresponding scaling step functions that generate non-Haar orthogonal MRA on the local field $ F^{(s)}$ of positive characteristic $p$. To construct this mask we use two new ideas. First, we consider local field as vector space over the finite field $GF(p^s)$. Second, we construct scaling function by arbitrary tree that has $p^s$ vertices. By fixed prime number $p$ there exist $p^{s(p^s-2)}$ such trees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-15T17:45:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C40",
      "43A70"
    ],
    "keywords": [
      "local field",
      "positive characteristic",
      "non-haar mra",
      "generate non-haar orthogonal mra",
      "construct integral periodic mask"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.4069L"
    }
  }
}