{
  "id": "2204.01596",
  "version": "v1",
  "published": "2022-04-01T09:17:28.000Z",
  "updated": "2022-04-01T09:17:28.000Z",
  "title": "Time-Frequency Analysis (Lecture Notes)",
  "authors": [
    "Markus Faulhuber"
  ],
  "comment": "Lecture Notes, 149 pages, 11 figures",
  "categories": [
    "math.FA",
    "math-ph",
    "math.CA",
    "math.MP",
    "math.SG"
  ],
  "abstract": "These lecture notes accompanied the course Time-Frequency Analysis given at the Faculty of Mathematics of the University of Vienna in the summer term 2021. The material is suitable for an advanced undergraduate course in mathematics or a mathematics class for PhD students. Besides standard linear algebra and calculus only some basics from functional analysis are needed. A course in Fourier analysis may be of advantage, but is not needed. The course contained 4 academic units per week. The appendices and Section 11 were not presented in class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-01T09:17:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C35",
      "30H20",
      "42B35",
      "42C15",
      "46E30",
      "81S05",
      "81S30",
      "94A20"
    ],
    "keywords": [
      "lecture notes",
      "course time-frequency analysis",
      "standard linear algebra",
      "fourier analysis",
      "functional analysis"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 149,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}