{
  "id": "0708.0322",
  "version": "v5",
  "published": "2007-08-02T11:22:38.000Z",
  "updated": "2007-08-21T14:53:58.000Z",
  "title": "Harmonic Analysis over adelic spaces",
  "authors": [
    "Anton Deitmar"
  ],
  "comment": "LATeX, 29 pages",
  "categories": [
    "math.NT",
    "math.AC"
  ],
  "abstract": "Extending ideas of A.N. Parshin and D.V. Osipov, Harmonic Analysis is developed for filtered infinite dimensional modules over a ring. We establish Pontryagin duality, the Fourier inversion formula, Plancherel formula and Poisson summation formula for all dimensions.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2007-08-21T14:53:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic analysis",
      "adelic spaces",
      "filtered infinite dimensional modules",
      "fourier inversion formula",
      "poisson summation formula"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.0322D"
    }
  }
}