{
  "id": "1405.5369",
  "version": "v1",
  "published": "2014-05-21T11:13:21.000Z",
  "updated": "2014-05-21T11:13:21.000Z",
  "title": "Aspects of Multilinear Harmonic Analysis Related to Transversality",
  "authors": [
    "Jonathan Bennett"
  ],
  "comment": "28 pages. Article based on a short course given at the 9th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, 2012",
  "journal": "Contemporary Mathematics, Volume 612, 2014",
  "categories": [
    "math.CA"
  ],
  "abstract": "The purpose of this article is to survey certain aspects of multilinear harmonic analysis related to notions of transversality. Particular emphasis will be placed on the multilinear restriction theory for the euclidean Fourier transform, multilinear oscillatory integrals, multilinear geometric inequalities, multilinear Radon-like transforms, and the interplay between them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-21T11:13:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multilinear harmonic analysis",
      "transversality",
      "multilinear geometric inequalities",
      "multilinear restriction theory",
      "multilinear oscillatory integrals"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.5369B"
    }
  }
}