{
  "id": "1012.1289",
  "version": "v1",
  "published": "2010-12-06T19:21:06.000Z",
  "updated": "2010-12-06T19:21:06.000Z",
  "title": "Classical Analysis and Nilpotent Lie Groups",
  "authors": [
    "Joseph A. Wolf"
  ],
  "comment": "Expository article; to appear in Edizioni della Scuola Normale di Pisa",
  "categories": [
    "math.CA"
  ],
  "abstract": "Classical Fourier analysis has an exact counterpart in group theory and in some areas of geometry. Here I'll describe how this goes for nilpotent Lie groups and for a class of Riemannian manifolds closely related to a nilpotent Lie group structure. There are also some infinite dimensional analogs but I won't go into that here. The analytic ideas are not so different from those of the classical Fourier transform and Fourier inversion theories in one real variable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-06T19:21:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical analysis",
      "nilpotent lie group structure",
      "infinite dimensional analogs",
      "fourier inversion theories",
      "classical fourier analysis"
    ],
    "tags": [
      "expository article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.1289W"
    }
  }
}