{
  "id": "math/0201012",
  "version": "v1",
  "published": "2002-01-02T13:40:46.000Z",
  "updated": "2002-01-02T13:40:46.000Z",
  "title": "Tokens: An Algebraic Construction Common in Combinatorics, Analysis, and Physics",
  "authors": [
    "Vladimir V. Kisil"
  ],
  "comment": "LaTeX, 10 pages, 3 PS figures",
  "journal": "Func. An.: Proc. of the Ukr. Math. Congress-2001, Kiev, 2002. p. 146-155",
  "categories": [
    "math.FA",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "We give a brief account of a construction called tokens here, which is significant in algebra, analysis, combinatorics, and physics. Tokens allow to express a semigroup on one set via a semigroup convolution on another set. Therefore tokens are similar to intertwining operators but are more flexible. Keywords: semigroups, hypergroups, tokens, poset, multiplicative functions, polynomial sequence of binomial type, integral kernel, wavelets, refinement equation, special functions, quantum propagator, path integral, quantum computing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-02T13:40:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A20",
      "05A40",
      "81S40"
    ],
    "keywords": [
      "algebraic construction common",
      "combinatorics",
      "brief account",
      "special functions",
      "refinement equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......1012K"
    }
  }
}