{
  "id": "2204.01559",
  "version": "v1",
  "published": "2022-04-04T15:05:51.000Z",
  "updated": "2022-04-04T15:05:51.000Z",
  "title": "An invitation to the Drury-Arveson space",
  "authors": [
    "Michael Hartz"
  ],
  "comment": "61 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "This is an extended version of a three part mini course on the Drury-Arveson space given as part of the Focus Program on Analytic Function Spaces and their Applications, hosted by the Fields Institute and held remotely. The Drury-Arveson space, also known as symmetric Fock space, is a natural generalization of the classical Hardy space on the unit disc to the unit ball in higher dimensions. It plays a universal role both in operator theory and in function theory. These notes give an introduction to the Drury-Arveson space. They are not intended to give a comprehensive overview of the entire subject, but rather aim to explain some of the contexts in which the Drury-Arveson space makes an appearance and to showcase the different approaches to this space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-04T15:05:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22",
      "47A13",
      "47A20",
      "47B32",
      "47L30"
    ],
    "keywords": [
      "drury-arveson space",
      "invitation",
      "symmetric fock space",
      "part mini course",
      "analytic function spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 61,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}